No products in the cart.

  1. Homework Help
  2. CBSE
  3. Class 10
  4. Mathematics

Prove root 7is irrational number

CBSE, JEE, NEET, CUET

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

Install Now
Prove root 7is irrational number

    • Posted by Hitakshi Sethi 1 year, 10 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sakshi Kumari 1 year, 10 months ago

    Let us assume to the contary that√7 is a rational number This implies that √7 =p/q (where p and q are co primes) Squaring both sides, we have 7=p²/q² This implies that 7q²= p² That means 7 is a factor of p² Thus 7 is a factor of p. Let p= 7c where c€natural number Thus 7q²=49c² Or q² = 7c² Thus 7 is a factor of q² That means 7 is a factor of q. Here we come to know that 7 is a factor of both p and q. But this is a contradiction . ( p and q being co prime). Thus, our assumption is wrong. Hence √7 is an irrational number...

    1Thank You

    ANSWER
    http://mycbseguide.com/examin8/

    Related Questions

    Venu Gopal has twice

    • Posted by Lakshay Kumar 1 week, 2 days ago

    CBSE > Class 10 > Mathematics
    • 0 answers
    Find cosec 30 degree and cause 60 degree geometrical

    • Posted by Hari Anand 2 weeks, 3 days ago

    CBSE > Class 10 > Mathematics
    • 0 answers
    Water

    • Posted by S Prajwal 2 weeks, 3 days ago

    CBSE > Class 10 > Mathematics
    • 0 answers
    X-y=5

    • Posted by Kishan Thakur 1 month, 3 weeks ago

    CBSE > Class 10 > Mathematics
    • 1 answers
    Find the nature of quadratic equation x^2 +x -5 =0

    • Posted by Parinith Gowda Ms 4 months ago

    CBSE > Class 10 > Mathematics
    • 0 answers
    sin60° cos 30°+ cos60° sin 30°

    • Posted by Vanshika Bhatnagar 4 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers
    Find the sum of the odd no. Between 0 and 50

    • Posted by Kanika . 2 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers
    If 1/2 is a root of equation x^2+kx- 5/4 =0 , then what is the value of k

    • Posted by Parinith Gowda Ms 4 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers
    (A + B )²

    • Posted by Abhishek Gupta 4 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers
    Is it possible to design a rectangular mango Grove whose length is twice it's breadth, and the area is 800m²? If so, find it's length and breadth

    • Posted by Akshata Choukse 4 months ago

    CBSE > Class 10 > Mathematics
    • 0 answers

    myCBSEguide App

    myCBSEguide

    Trusted by 1 Crore+ Students

    Install Now

    Test Generator

    Test Generator

    Create papers online. It's FREE.

    Try Now

    CUET Mock Tests

    CUET Mock Tests

    75,000+ questions to practice only on myCBSEguide app

    Install Now
    Google Play

    Download myCBSEguide App

    All Courses

    Other Websites

    CBSE Courses

    Resources

    Corporate

    NCERT Solutions

    CBSE Sample Papers

    All Content and Intellectual Property is under Copyright Protection | myCBSEguide.com ©2007-2024