{"id":4691,"date":"2016-05-17T11:49:00","date_gmt":"2016-05-17T06:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-8-maths-exercise-6-3\/"},"modified":"2018-06-26T15:18:23","modified_gmt":"2018-06-26T09:48:23","slug":"ncert-solutions-for-class-8-maths-exercise-6-3","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-3\/","title":{"rendered":"NCERT Solutions for Class 8 Maths Exercise 6.3"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_76 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-3\/#NCERT_Solutions_for_Class_8_Maths_Squares_and_Square_Roots\" >NCERT Solutions for Class 8 Maths\u00a0Squares and Square Roots<\/a><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-3\/#Class_%E2%80%93VIII_Mathematics_Ex_63\" >Class \u2013VIII Mathematics (Ex. 6.3)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-3\/#NCERT_SOLUTION\" >NCERT SOLUTION<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-3\/#1_What_could_be_the_possible_%E2%80%98ones_digits_of_the_square_root_of_each_of_the_following_numbers\" >1. What could be the possible \u2018one\u2019s\u2019 digits of the square root of each of the following numbers:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-3\/#2_Without_doing_any_calculation_find_the_numbers_which_are_surely_not_perfect_squares\" >2. Without doing any calculation, find the numbers which are surely not perfect squares:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-3\/#3_Find_the_square_roots_of_100_and_169_by_the_method_of_repeated_subtraction\" >3. Find the square roots of 100 and 169 by the method of repeated subtraction.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-3\/#4_Find_the_square_roots_of_the_following_numbers_by_the_Prime_Factorization_method\" >4. Find the square roots of the following numbers by the Prime Factorization method:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-3\/#i\" >\u00a0=<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-3\/#5_For_each_of_the_following_numbers_find_the_smallest_whole_number_by_which_it_should_be_multiplied_so_as_to_get_a_perfect_square_number_Also_find_the_square_root_of_the_square_number_so_obtained\" >5. For each of the following numbers, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also, find the square root of the square number so obtained:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-3\/#Here_prime_factor_5_has_no_pair_Therefore_180_must_be_multiplied_by_5_to_make_it_a_perfect_square\" >Here, prime factor 5 has no pair. Therefore 180 must be multiplied by 5 to make it a perfect square.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-3\/#Here_prime_factor_3_has_no_pair_Therefore_2028_must_be_multiplied_by_3_to_make_it_a_perfect_square\" >Here, prime factor 3 has no pair. Therefore 2028 must be multiplied by 3 to make it a perfect square.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-3\/#6_For_each_of_the_following_numbers_find_the_smallest_whole_number_by_which_it_should_be_divided_so_as_to_get_a_perfect_square_Also_find_the_square_root_of_the_square_number_so_obtained\" >6. For each of the following numbers, find the smallest whole number by which it should be divided so as to get a perfect square. Also, find the square root of the square number so obtained:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-3\/#Here_prime_factor_11_has_no_pair_Therefore_396_must_be_divided_by_11_to_make_it_a_perfect_square\" >Here, prime factor 11 has no pair. Therefore 396 must be divided by 11 to make it a perfect square.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-3\/#Here_prime_factor_5_has_no_pair_Therefore_2645_must_be_divided_by_5_to_make_it_a_perfect_square\" >Here, prime factor 5 has no pair. Therefore 2645 must be divided by 5 to make it a perfect square.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-3\/#7_The_students_of_Class_VIII_of_a_school_donated_2401_in_all_for_Prime_Ministers_National_Relief_Fund_Each_student_donated_as_many_rupees_as_the_number_of_students_in_the_class_Find_the_number_of_students_in_the_class\" >7. The students of Class VIII of a school donated ` 2401 in all, for Prime Minister\u2019s National Relief Fund. Each student donated as many rupees as the number of students in the class. Find the number of students in the class.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-3\/#8_2025_plants_are_to_be_planted_in_a_garden_in_such_a_way_that_each_row_contains_as_many_plants_as_the_number_of_rows_Find_the_number_of_rows_and_the_number_of_plants_in_each_row\" >8. 2025 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of rows and the number of plants in each row.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-3\/#9_Find_the_smallest_square_number_that_is_divisible_by_each_of_the_numbers_4_9_and_10\" >9. Find the smallest square number that is divisible by each of the numbers 4, 9 and 10.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-3\/#10_Find_the_smallest_square_number_that_is_divisible_by_each_of_the_numbers_8_15_and_20\" >10. Find the smallest square number that is divisible by each of the numbers 8, 15 and 20.<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-3\/#NCERT_Solutions_for_Class_8_Maths_Exercise_63\" >NCERT Solutions for Class 8 Maths Exercise 6.3<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-3\/#CBSE_app_for_Class_8\" >CBSE app for Class 8<\/a><\/li><\/ul><\/nav><\/div>\n<p>NCERT Solutions for Class 8 Maths Exercise 6.3 Class 8 Maths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 8 Maths chapter wise NCERT solution for Maths Book all the chapters can be downloaded from our website and myCBSEguide mobile app for free.<\/p>\n<p style=\"text-align: center;\"><strong>NCERT solutions for Class 8 Maths\u00a0Squares and Square Roots\u00a0<a class=\"button\" href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-08-mathematics-squares-and-square-roots\/1455\/ncert-solutions\/5\/\">Download as PDF<\/a><\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/08_Maths_Book.jpg\" alt=\"NCERT Solutions for Class 8 Maths Exercise 6.3\" width=\"159\" height=\"200\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_8_Maths_Squares_and_Square_Roots\"><\/span>NCERT Solutions for Class 8 Maths\u00a0Squares and Square Roots<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h6 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"Class_%E2%80%93VIII_Mathematics_Ex_63\"><\/span><strong>Class \u2013VIII Mathematics (Ex. 6.3)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<h6 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"NCERT_SOLUTION\"><\/span><strong>NCERT SOLUTION<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<h6><span class=\"ez-toc-section\" id=\"1_What_could_be_the_possible_%E2%80%98ones_digits_of_the_square_root_of_each_of_the_following_numbers\"><\/span><strong>1. What could be the possible \u2018one\u2019s\u2019 digits of the square root of each of the following numbers:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>(i) 9801<\/strong><\/p>\n<p><strong>(ii) 99856<\/strong><\/p>\n<p><strong>(iii) 998001<\/strong><\/p>\n<p><strong>(iv) 657666025<\/strong><\/p>\n<p><strong>Ans. <\/strong>Since, Unit\u2019s digits of square of numbers are 0, 1, 4, 5, 6 and 9. Therefore, the possible unit\u2019s digits of the given numbers are:<\/p>\n<p>(i) 1 (ii) 6\u00a0 (iii) 1\u00a0 (iv) 5<\/p>\n<hr \/>\n<h6><span class=\"ez-toc-section\" id=\"2_Without_doing_any_calculation_find_the_numbers_which_are_surely_not_perfect_squares\"><\/span><strong>2. Without doing any calculation, find the numbers which are surely not perfect squares:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>(i) 153<\/strong><\/p>\n<p><strong>(ii) 257<\/strong><\/p>\n<p><strong>(iii) 408<\/strong><\/p>\n<p><strong>(iv) 441<\/strong><\/p>\n<p><strong>Ans. <\/strong>Since, all perfect square numbers contain their unit\u2019s place digits 0, 1, 4, 5, 6 and 9.<\/p>\n<p>(i) But given number 153 has its unit digit 3. So it is not a perfect square number.<\/p>\n<p>(ii) Given number 257 has its unit digit 7. So it is not a perfect square number.<\/p>\n<p>(iii) Given number 408 has its unit digit 8. So it is not a perfect square number.<\/p>\n<p>(iv) Given number 441 has its unit digit 1. So it would be a perfect square number<\/p>\n<hr \/>\n<h6><span class=\"ez-toc-section\" id=\"3_Find_the_square_roots_of_100_and_169_by_the_method_of_repeated_subtraction\"><\/span><strong>3. Find the square roots of 100 and 169 by the method of repeated subtraction.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans. <\/strong>By successive subtracting odd natural numbers from 100,<\/p>\n<p>100 \u2013 1 = 99<\/p>\n<p>99 \u2013 3 = 96<\/p>\n<p>96 \u2013 5 = 91<\/p>\n<p>91 \u2013 7 = 84<\/p>\n<p>84 \u2013 9 = 75<\/p>\n<p>75 \u2013 11 = 64<\/p>\n<p>64 \u2013 13 = 51<\/p>\n<p>51 \u2013 15 = 36<\/p>\n<p>36 \u2013 17 = 19<\/p>\n<p>19 \u2013 19 = 0<\/p>\n<p>This successive subtraction is completed in 10 steps.<\/p>\n<p>Therefore <img decoding=\"async\" style=\"height: 24px; width: 69px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image001.png\" \/><\/p>\n<p>By successive subtracting odd natural numbers from 169,<\/p>\n<p>169 \u2013 1 = 168<\/p>\n<p>168 \u2013 3 = 165<\/p>\n<p>165 \u2013 5 = 160<\/p>\n<p>160 \u2013 7 = 153<\/p>\n<p>153 \u2013 9 = 144<\/p>\n<p>144 \u2013 11 = 133<\/p>\n<p>133 \u2013 13 = 120<\/p>\n<p>120 \u2013 15 = 105<\/p>\n<p>105 \u2013 17 = 88<\/p>\n<p>88 \u2013 19 = 69<\/p>\n<p>69 \u2013 21 = 48<\/p>\n<p>48 \u2013 23 = 25<\/p>\n<p>25 \u2013 25 = 0<\/p>\n<p>This successive subtraction is completed in 13 steps.<\/p>\n<p>Therefore <img decoding=\"async\" style=\"height: 24px; width: 69px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image002.png\" \/><\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 8 Maths Exercise 6.3<\/p>\n<h6><span class=\"ez-toc-section\" id=\"4_Find_the_square_roots_of_the_following_numbers_by_the_Prime_Factorization_method\"><\/span><strong>4. Find the square roots of the following numbers by the Prime Factorization method:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>(i) 729\u00a0\u00a0\u00a0\u00a0 <\/strong><\/p>\n<p><strong>(ii) 400<\/strong><\/p>\n<p><strong>(iii) 1764\u00a0\u00a0\u00a0\u00a0 <\/strong><\/p>\n<p><strong>(iv) 4096<\/strong><\/p>\n<p><strong>(v) 7744\u00a0\u00a0\u00a0\u00a0 <\/strong><\/p>\n<p><strong>(vi) 9604<\/strong><\/p>\n<p><strong>(vii) 5929\u00a0\u00a0\u00a0\u00a0 <\/strong><\/p>\n<p><strong>(viii) 9216<\/strong><\/p>\n<p><strong>(ix) 529\u00a0\u00a0\u00a0\u00a0 <\/strong><\/p>\n<p><strong>(x) 8100<\/strong><\/p>\n<p><strong>Ans. (i)<\/strong> 729<\/p>\n<p><img decoding=\"async\" style=\"height: 24px; width: 173px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image003.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 19px; width: 51px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image004.png\" \/><\/p>\n<p>= 27<\/p>\n<p><img decoding=\"async\" id=\"Picture 107\" style=\"height: 121px; width: 86px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image005.jpg\" \/><\/p>\n<p><strong>(ii)<\/strong> 400<\/p>\n<p><img decoding=\"async\" style=\"height: 24px; width: 179px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image006.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 19px; width: 53px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image007.png\" \/><\/p>\n<p>= 20<\/p>\n<p><img decoding=\"async\" id=\"Picture 110\" style=\"height: 129px; width: 84px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image008.jpg\" \/><\/p>\n<p><strong>(iii)<\/strong> 1764<\/p>\n<p><img decoding=\"async\" style=\"height: 24px; width: 184px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image009.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 19px; width: 53px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image010.png\" \/><\/p>\n<p>= 42<\/p>\n<p><img decoding=\"async\" id=\"Picture 113\" style=\"height: 127px; width: 87px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image011.jpg\" \/><\/p>\n<p><strong>(iv)<\/strong> 4096<\/p>\n<h6><span class=\"ez-toc-section\" id=\"i\"><\/span><img decoding=\"async\" style=\"height: 24px; width: 311px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image012.png\" \/>\u00a0= <img decoding=\"async\" style=\"height: 17px; width: 116px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image013.png\" \/><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p>= 64<\/p>\n<p><img decoding=\"async\" id=\"Picture 116\" style=\"height: 221px; width: 87px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image014.jpg\" \/><\/p>\n<p><strong>(v)<\/strong> 7744<\/p>\n<p><img decoding=\"async\" style=\"height: 24px; width: 239px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image015.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 17px; width: 80px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image016.png\" \/><\/p>\n<p>= 88<\/p>\n<p><img decoding=\"async\" id=\"Picture 119\" style=\"height: 156px; width: 83px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image017.jpg\" \/><\/p>\n<p><strong>(vi)<\/strong> 9604<\/p>\n<p><img decoding=\"async\" style=\"height: 24px; width: 187px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image018.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 19px; width: 53px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image019.png\" \/><\/p>\n<p>= 98<\/p>\n<p><img decoding=\"async\" id=\"Picture 122\" style=\"height: 127px; width: 86px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image020.jpg\" \/><\/p>\n<p><strong>(vii)<\/strong> 5929<\/p>\n<p><img decoding=\"async\" style=\"height: 24px; width: 156px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image021.png\" \/><\/p>\n<p>=<img decoding=\"async\" style=\"height: 19px; width: 39px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image022.png\" \/><\/p>\n<p>= 77<\/p>\n<p><img decoding=\"async\" id=\"Picture 125\" style=\"height: 94px; width: 85px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image023.jpg\" \/><\/p>\n<p><strong>(viii)<\/strong> 9216<\/p>\n<p><img decoding=\"async\" style=\"height: 24px; width: 244px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image024.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 19px; width: 115px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image025.png\" \/><\/p>\n<p>= 96<\/p>\n<p><img decoding=\"async\" id=\"Picture 128\" style=\"height: 224px; width: 90px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image026.jpg\" \/><\/p>\n<p><strong>(ix)<\/strong> 529<\/p>\n<p><img decoding=\"async\" style=\"height: 24px; width: 112px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image027.png\" \/><\/p>\n<p>= 23<\/p>\n<p><img decoding=\"async\" id=\"Picture 131\" style=\"height: 65px; width: 82px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image028.jpg\" \/><\/p>\n<p><strong>(x)<\/strong> 8100<\/p>\n<p><img decoding=\"async\" style=\"height: 24px; width: 223px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image029.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 19px; width: 72px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image030.png\" \/><\/p>\n<p>= 90<\/p>\n<p><img decoding=\"async\" id=\"Picture 134\" style=\"height: 159px; width: 85px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image031.jpg\" \/><\/p>\n<p>&nbsp;<\/p>\n<hr \/>\n<h6><span class=\"ez-toc-section\" id=\"5_For_each_of_the_following_numbers_find_the_smallest_whole_number_by_which_it_should_be_multiplied_so_as_to_get_a_perfect_square_number_Also_find_the_square_root_of_the_square_number_so_obtained\"><\/span><strong>5. For each of the following numbers, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also, find the square root of the square number so obtained:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>(i) 252\u00a0\u00a0\u00a0\u00a0 (ii) 180<\/strong><\/p>\n<p><strong>(iii) 1008\u00a0\u00a0\u00a0\u00a0 (iv) 2028<\/strong><\/p>\n<p><strong>(v) 1458\u00a0\u00a0\u00a0\u00a0 (vi) 768<\/strong><\/p>\n<p><strong>Ans. <\/strong><strong>(i)<\/strong> 252 = <img decoding=\"async\" style=\"height: 19px; width: 93px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image032.png\" \/><\/p>\n<p>Here, prime factor 7 has no pair. Therefore 252 must be multiplied by 7 to make it a perfect square.<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image033.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 49px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image034.png\" \/>= 1764<\/p>\n<p>And <strong>(i)<\/strong><img decoding=\"async\" style=\"height: 24px; width: 47px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image035.png\" \/>\u00a0= <img decoding=\"async\" style=\"height: 19px; width: 53px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image010.png\" \/>= 42<\/p>\n<p><img decoding=\"async\" id=\"Picture 137\" style=\"height: 110px; width: 86px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image036.jpg\" \/><\/p>\n<p><strong>(ii)<\/strong> 180 = <img decoding=\"async\" style=\"height: 19px; width: 92px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image037.png\" \/><\/p>\n<h6><span class=\"ez-toc-section\" id=\"Here_prime_factor_5_has_no_pair_Therefore_180_must_be_multiplied_by_5_to_make_it_a_perfect_square\"><\/span>Here, prime factor 5 has no pair. Therefore 180 must be multiplied by 5 to make it a perfect square.<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image033.png\" \/>\u00a0180 x 5 = 900<\/p>\n<p>And <img decoding=\"async\" style=\"height: 24px; width: 40px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image038.png\" \/>\u00a0= <img decoding=\"async\" style=\"height: 19px; width: 52px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image039.png\" \/>= 30<\/p>\n<p><img decoding=\"async\" id=\"Picture 140\" style=\"height: 110px; width: 83px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image040.jpg\" \/><\/p>\n<p><strong>(iii)<\/strong> 1008 = <img decoding=\"async\" style=\"height: 19px; width: 133px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image041.png\" \/><\/p>\n<p>Here, prime factor 7 has no pair. Therefore 1008 must be multiplied by 7 to make it a perfect square.<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image033.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 56px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image042.png\" \/>= 7056<\/p>\n<p>And <img decoding=\"async\" style=\"height: 24px; width: 49px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image043.png\" \/>\u00a0= <img decoding=\"async\" style=\"height: 19px; width: 73px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image044.png\" \/>= 84<\/p>\n<p><img decoding=\"async\" id=\"Picture 143\" style=\"height: 142px; width: 83px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image045.jpg\" \/><\/p>\n<p><strong>(iv)<\/strong> 2028 = <img decoding=\"async\" style=\"height: 19px; width: 105px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image046.png\" \/><\/p>\n<h6><span class=\"ez-toc-section\" id=\"Here_prime_factor_3_has_no_pair_Therefore_2028_must_be_multiplied_by_3_to_make_it_a_perfect_square\"><\/span>Here, prime factor 3 has no pair. Therefore 2028 must be multiplied by 3 to make it a perfect square.<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image033.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 56px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image047.png\" \/>= 6084<\/p>\n<p>And <img decoding=\"async\" style=\"height: 24px; width: 49px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image048.png\" \/>\u00a0= <img decoding=\"async\" style=\"height: 19px; width: 125px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image049.png\" \/>= 78<\/p>\n<p><img decoding=\"async\" id=\"Picture 146\" style=\"height: 113px; width: 83px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image050.jpg\" \/><\/p>\n<p><strong>(v)<\/strong> 1458 = <img decoding=\"async\" style=\"height: 19px; width: 129px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image051.png\" \/><\/p>\n<p>Here, prime factor 2 has no pair. Therefore 1458 must be multiplied by 2 to make it a perfect square.<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image033.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 56px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image052.png\" \/>= 2916<\/p>\n<p>And <img decoding=\"async\" style=\"height: 24px; width: 49px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image053.png\" \/>\u00a0= <img decoding=\"async\" style=\"height: 19px; width: 72px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image054.png\" \/>= 54<\/p>\n<p><img decoding=\"async\" id=\"Picture 149\" style=\"height: 145px; width: 83px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image055.jpg\" \/><\/p>\n<p><strong>(vi)<\/strong> 768 = <img decoding=\"async\" style=\"height: 19px; width: 176px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image056.png\" \/><\/p>\n<p>Here, prime factor 3 has no pair. Therefore 768 must be multiplied by 3 to make it a perfect square.<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image033.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 48px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image057.png\" \/>= 2304<\/p>\n<p>And <img decoding=\"async\" style=\"height: 24px; width: 49px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image058.png\" \/>\u00a0= <img decoding=\"async\" style=\"height: 19px; width: 93px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image059.png\" \/>= 48<\/p>\n<p><img decoding=\"async\" id=\"Picture 152\" style=\"height: 174px; width: 85px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image060.jpg\" \/><\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 8 Maths Exercise 6.3<\/p>\n<h6><span class=\"ez-toc-section\" id=\"6_For_each_of_the_following_numbers_find_the_smallest_whole_number_by_which_it_should_be_divided_so_as_to_get_a_perfect_square_Also_find_the_square_root_of_the_square_number_so_obtained\"><\/span><strong>6. For each of the following numbers, find the smallest whole number by which it should be divided so as to get a perfect square. Also, find the square root of the square number so obtained:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>(i) 252\u00a0\u00a0\u00a0\u00a0 <\/strong><\/p>\n<p><strong>(ii) 2925<\/strong><\/p>\n<p><strong>(iii) 396\u00a0\u00a0\u00a0\u00a0 <\/strong><\/p>\n<p><strong>(iv) 2645<\/strong><\/p>\n<p><strong>(v) 2800\u00a0\u00a0\u00a0\u00a0 <\/strong><\/p>\n<p><strong>(vi) 1620<\/strong><\/p>\n<p><strong>Ans. <\/strong><strong>(i)<\/strong> 252 = <img decoding=\"async\" style=\"height: 19px; width: 93px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image032.png\" \/><\/p>\n<p>Here, prime factor 7 has no pair. Therefore 252 must be divided by 7 to make it a perfect square.<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image033.png\" \/>\u00a0252 <img decoding=\"async\" style=\"height: 13px; width: 13px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image061.png\" \/>\u00a07 = 36<\/p>\n<p>And <img decoding=\"async\" style=\"height: 24px; width: 32px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image062.png\" \/>\u00a0= <img decoding=\"async\" style=\"height: 19px; width: 32px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image063.png\" \/>\u00a0= 6<\/p>\n<p><img decoding=\"async\" id=\"Picture 155\" style=\"height: 108px; width: 82px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image064.jpg\" \/><\/p>\n<p><strong>(ii)<\/strong> 2925 = <img decoding=\"async\" style=\"height: 19px; width: 97px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image065.png\" \/><\/p>\n<p>Here, prime factor 13 has no pair. Therefore 2925 must be divided by 13 to make it a perfect square.<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image033.png\" \/>\u00a02925 <img decoding=\"async\" style=\"height: 13px; width: 13px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image061.png\" \/>\u00a013 = 225<\/p>\n<p>And <img decoding=\"async\" style=\"height: 24px; width: 41px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image066.png\" \/>\u00a0= <img decoding=\"async\" style=\"height: 19px; width: 32px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image067.png\" \/>= 15<\/p>\n<p><img decoding=\"async\" id=\"Picture 158\" style=\"height: 110px; width: 84px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image068.jpg\" \/><\/p>\n<p><strong>(iii)<\/strong> 396 = <img decoding=\"async\" style=\"height: 19px; width: 97px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image069.png\" \/><\/p>\n<h6><span class=\"ez-toc-section\" id=\"Here_prime_factor_11_has_no_pair_Therefore_396_must_be_divided_by_11_to_make_it_a_perfect_square\"><\/span>Here, prime factor 11 has no pair. Therefore 396 must be divided by 11 to make it a perfect square.<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image033.png\" \/>\u00a0396 <img decoding=\"async\" style=\"height: 13px; width: 13px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image061.png\" \/>\u00a011 = 36<\/p>\n<p>And <img decoding=\"async\" style=\"height: 24px; width: 32px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image062.png\" \/>\u00a0= <img decoding=\"async\" style=\"height: 19px; width: 32px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image063.png\" \/>= 6<\/p>\n<p><img decoding=\"async\" id=\"Picture 161\" style=\"height: 110px; width: 86px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image070.jpg\" \/><\/p>\n<p><strong>(iv)<\/strong> 2645 = <img decoding=\"async\" style=\"height: 19px; width: 68px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image071.png\" \/><\/p>\n<h6><span class=\"ez-toc-section\" id=\"Here_prime_factor_5_has_no_pair_Therefore_2645_must_be_divided_by_5_to_make_it_a_perfect_square\"><\/span>Here, prime factor 5 has no pair. Therefore 2645 must be divided by 5 to make it a perfect square.<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image033.png\" \/>\u00a02645 <img decoding=\"async\" style=\"height: 13px; width: 13px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image061.png\" \/>\u00a05 = 529<\/p>\n<p>And <img decoding=\"async\" style=\"height: 24px; width: 40px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image072.png\" \/>\u00a0= <img decoding=\"async\" style=\"height: 19px; width: 48px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image073.png\" \/>= 23<\/p>\n<p><img decoding=\"async\" id=\"Picture 164\" style=\"height: 78px; width: 90px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image074.jpg\" \/><\/p>\n<p><strong>(v)<\/strong> 2800 = <img decoding=\"async\" style=\"height: 19px; width: 135px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image075.png\" \/><\/p>\n<p>Here, prime factor 7 has no pair. Therefore 2800 must be divided by 7 to make it a perfect square.<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image033.png\" \/>\u00a02800 <img decoding=\"async\" style=\"height: 13px; width: 13px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image061.png\" \/>\u00a07 = 400<\/p>\n<p>And <img decoding=\"async\" style=\"height: 24px; width: 41px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image076.png\" \/>\u00a0= <img decoding=\"async\" style=\"height: 19px; width: 53px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image007.png\" \/>\u00a0= 20<\/p>\n<p><img decoding=\"async\" id=\"Picture 167\" style=\"height: 142px; width: 86px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image077.jpg\" \/><\/p>\n<p><strong>(vi)<\/strong> 1620 = <img decoding=\"async\" style=\"height: 19px; width: 131px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image078.png\" \/><\/p>\n<p>Here, prime factor 5 has no pair. Therefore 1620 must be divided by 5 to make it a perfect square.<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image033.png\" \/>\u00a01620<img decoding=\"async\" style=\"height: 13px; width: 13px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image061.png\" \/>5 = 324<\/p>\n<p>And <img decoding=\"async\" style=\"height: 24px; width: 40px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image079.png\" \/>\u00a0= <img decoding=\"async\" style=\"height: 19px; width: 52px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image080.png\" \/>= 18<\/p>\n<p><img decoding=\"async\" id=\"Picture 170\" style=\"height: 142px; width: 90px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image081.jpg\" \/><\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 8 Maths Exercise 6.3<\/p>\n<h6><span class=\"ez-toc-section\" id=\"7_The_students_of_Class_VIII_of_a_school_donated_2401_in_all_for_Prime_Ministers_National_Relief_Fund_Each_student_donated_as_many_rupees_as_the_number_of_students_in_the_class_Find_the_number_of_students_in_the_class\"><\/span><strong>7. The students of Class VIII of a school donated <\/strong><strong>`<\/strong><strong> 2401 in all, for Prime Minister\u2019s National Relief Fund. Each student donated as many rupees as the number of students in the class. Find the number of students in the class.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans. <\/strong>Here, Donated money = ` 2401<\/p>\n<p>Let the number of students be <img decoding=\"async\" style=\"height: 15px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image082.png\" \/><\/p>\n<p>Therefore donated money = <img decoding=\"async\" style=\"height: 15px; width: 33px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image083.png\" \/><\/p>\n<p>According to question,<\/p>\n<p><img decoding=\"async\" style=\"height: 21px; width: 19px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image084.png\" \/>\u00a0= 2401<\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image085.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 24px; width: 72px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image086.png\" \/>\u00a0= <img decoding=\"async\" style=\"height: 24px; width: 87px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image087.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image085.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 15px; width: 13px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image088.png\" \/>\u00a0= <img decoding=\"async\" style=\"height: 19px; width: 33px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image089.png\" \/>= 49<\/p>\n<p>Hence, the number of students is 49.<\/p>\n<p><img decoding=\"async\" id=\"Picture 173\" style=\"height: 94px; width: 84px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image090.jpg\" \/><\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 8 Maths Exercise 6.3<\/p>\n<h6><span class=\"ez-toc-section\" id=\"8_2025_plants_are_to_be_planted_in_a_garden_in_such_a_way_that_each_row_contains_as_many_plants_as_the_number_of_rows_Find_the_number_of_rows_and_the_number_of_plants_in_each_row\"><\/span><strong>8. 2025 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of rows and the number of plants in each row.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans. <\/strong>Here, Number of plants = 2025<\/p>\n<p>Let the number of rows of planted plants be <img decoding=\"async\" style=\"height: 15px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image082.png\" \/><\/p>\n<p>And each row contains number of plants = <img decoding=\"async\" style=\"height: 15px; width: 13px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image088.png\" \/><\/p>\n<p>According to question,<\/p>\n<p><img decoding=\"async\" style=\"height: 21px; width: 19px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image084.png\" \/>\u00a0= 2025<\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image085.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 24px; width: 207px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image091.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image085.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 15px; width: 13px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image088.png\" \/>\u00a0= <img decoding=\"async\" style=\"height: 19px; width: 51px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image092.png\" \/>= 45<\/p>\n<p>Hence, each row contains 45 plants.<\/p>\n<p><img decoding=\"async\" id=\"Picture 176\" style=\"height: 127px; width: 84px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image093.jpg\" \/><\/p>\n<hr \/>\n<h6><span class=\"ez-toc-section\" id=\"9_Find_the_smallest_square_number_that_is_divisible_by_each_of_the_numbers_4_9_and_10\"><\/span><strong>9. Find the smallest square number that is divisible by each of the numbers 4, 9 and 10.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans. <\/strong>L.C.M. of 4, 9 and 10 is 180.<\/p>\n<p>Prime factors of 180 = <img decoding=\"async\" style=\"height: 19px; width: 92px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image037.png\" \/><\/p>\n<p>Here, prime factor 5 has no pair. Therefore 180 must be multiplied by 5 to make it a perfect square.<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image033.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 47px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image094.png\" \/>= 900<\/p>\n<p>Hence, the smallest square number which is divisible by 4, 9 and 10 is 900.<\/p>\n<p><img decoding=\"async\" id=\"Picture 179\" style=\"height: 106px; width: 86px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image095.jpg\" \/><\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 8 Maths Exercise 6.3<\/p>\n<h6><span class=\"ez-toc-section\" id=\"10_Find_the_smallest_square_number_that_is_divisible_by_each_of_the_numbers_8_15_and_20\"><\/span><strong>10. Find the smallest square number that is divisible by each of the numbers 8, 15 and 20.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans. <\/strong>L.C.M. of 8, 15 and 20 is 120.<\/p>\n<p>Prime factors of 120 = <img decoding=\"async\" style=\"height: 19px; width: 93px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image096.png\" \/><\/p>\n<p>Here, prime factor 2, 3 and 5 has no pair. Therefore 120 must be multiplied by<\/p>\n<p><img decoding=\"async\" style=\"height: 19px; width: 52px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image039.png\" \/>to make it a perfect square.<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image033.png\" \/>\u00a0120 <img decoding=\"async\" style=\"height: 13px; width: 12px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image097.png\" \/>\u00a02 <img decoding=\"async\" style=\"height: 13px; width: 12px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image097.png\" \/>\u00a03 <img decoding=\"async\" style=\"height: 13px; width: 12px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image097.png\" \/>\u00a05 = 3600<\/p>\n<p>Hence, the smallest square number which is divisible by 8, 15 and 20 is 3600.<\/p>\n<p><img decoding=\"async\" id=\"Picture 182\" style=\"height: 115px; width: 78px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/6_3\/image098.jpg\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_8_Maths_Exercise_63\"><\/span>NCERT Solutions for Class 8 Maths Exercise 6.3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>NCERT Solutions Class 8\u00a0Mathematics PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 8\u00a0Mathematics includes text book solutions from Class 8 Maths Book . NCERT Solutions for CBSE Class 8 Maths have total 16 chapters. 8 Maths NCERT Solutions in PDF for free Download on our website. Ncert class 8 solutions PDF and Maths ncert class 8 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"CBSE_app_for_Class_8\"><\/span>CBSE app for Class 8<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To download\u00a0NCERT Solutions for class 8 Social Science, Computer Science, Home Science,Hindi ,English, Maths Science do check myCBSEguide app or website. myCBSEguide provides sample papers with solution, test papers for chapter-wise practice, NCERT solutions, NCERT Exemplar solutions, quick revision notes for ready reference, CBSE guess papers and CBSE important question papers. Sample Paper all are made available through\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.techchefs.MyCBSEGuide&amp;referrer=utm_source%3Dmycbse_bottom%26utm_medium%3Dtext%26utm_campaign%3Dmycbseads\"><strong>the best app for CBSE students<\/strong><\/a>\u00a0and myCBSEguide website.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 8 Maths Exercise 6.3 Class 8 Maths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 8 &#8230; <a title=\"NCERT Solutions for Class 8 Maths Exercise 6.3\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-6-3\/\" aria-label=\"More on NCERT Solutions for Class 8 Maths Exercise 6.3\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":-1,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1382,281],"tags":[283,1523,321,1485,216],"class_list":["post-4691","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mathematics-cbse-class-08","category-ncert-solutions","tag-cbse-study-material","tag-class-8","tag-mathematics","tag-maths","tag-ncert-solutions"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 8 Maths Exercise 6.3 | myCBSEguide<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for Class 8 Maths Exercise 6.3 in PDF format for free download. 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