No products in the cart.

Prove √2 irrational

CBSE, JEE, NEET, CUET

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

Prove √2 irrational

Posted by Shruti Lakra 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Swaran Singh 6 months ago

Let assume that √2 is an rational number and √2/1 = a/b , where a and b are integers and co-prime , b ≠0 . b√2 = a By squaring both sides, we get 2b²= a² _ (1) Here, a² is divisible by 2 and a also divisible by 2. Now , let a=2c , where c is an integer . By squaring both sides, we get a²= 4 c² By Substituting it in eq ( 1) 2b²= 4c² b² = 2c² Here , b² is divisible by 2 , also b is divisible by 2. Therefore, 2 is a common factor of a and b . This contradicts the fact that a and b are not co - prime. Therefore , our assumption is wrong.

ANSWER

http://mycbseguide.com/examin8/

Related Questions

The nature of roots 3x²-6x+1=0

Posted by Ritik Modi 1 day, 8 hours ago

CBSE > Class 10 > Mathematics

1 answers

Udayraj Singh Chouhan

Posted by Udayraj Chouhan 7 hours ago

CBSE > Class 10 > Mathematics

0 answers

Please send me homework

Posted by Ayush Kumar 8 hours ago

CBSE > Class 10 > Mathematics

0 answers

Lcm of 3 and 7

Posted by Mehul Bansal Viii-C [23] 2 days, 3 hours ago

CBSE > Class 10 > Mathematics

4 answers

Draw the graph of equation X - Y + 1is 0 and 3X + 2Y −12 is 0. Find the point of Intersection of lines and shade the triangular region formed by these lines and x axis

Posted by Rishika Garg 1 day, 5 hours ago

CBSE > Class 10 > Mathematics

0 answers

Find the 11th term of the AP (5a-x), 6a, (7a+x)

Posted by Dhyey Soni 12 hours ago

CBSE > Class 10 > Mathematics

0 answers

10+k=0

Posted by Ritik Modi 1 day, 16 hours ago

CBSE > Class 10 > Mathematics

2 answers

'n' an=4n+5. a3. ?

Posted by Pavankumar Dindalakoppa 1 day, 22 hours ago

CBSE > Class 10 > Mathematics

2 answers

The area of rectangular gets reduced by 9 square unit. If it's land this reduced by 5 yd and bread. This increase by three weeks if we increase the land by three roots and the bread by two units a year increased by sixty seven square europe find the dimension of

Posted by Rishika Garg 1 day, 5 hours ago

CBSE > Class 10 > Mathematics

1 answers

Kisi ne challenge banaya mathematics 10th ke liye toh please share the code..🙏🏼🙏🏼 (Except Trigonometry and Heights and Distances)..

Posted by Sankalp Dinesh 1 day, 15 hours ago

CBSE > Class 10 > Mathematics

2 answers

myCBSEguide App

myCBSEguide

Trusted by 1 Crore+ Students

Test Generator

Test Generator

Create papers online. It's FREE.

CUET Mock Tests

CUET Mock Tests

75,000+ questions to practice only on myCBSEguide app

Google Play

Download myCBSEguide App