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 3 months, 2 weeks ago

CBSE > Class 10 > Mathematics

1 answers

Swaran Singh 3 months, 2 weeks 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

Find the coordinates of circumcentre of a ∆ABC where A(1,2),B(3,-4)and C(5,-6).

Posted by Ashu Khan 3 days, 23 hours ago

CBSE > Class 10 > Mathematics

0 answers

The point (4,-5) lies in Y-axis

Posted by Priyam Maurya 3 days, 13 hours ago

CBSE > Class 10 > Mathematics

3 answers

Tan³theta /1+tan²theta+ cot²theta/1+cot²theta

Posted by Siddharth Singh 1 day, 4 hours ago

CBSE > Class 10 > Mathematics

0 answers

Two cubes each of 10cm edge are joined end to end. Find the surface area of the resulting cuboid

Posted by Riya Kumari 4 days ago

CBSE > Class 10 > Mathematics

1 answers

If sin A = cos A find 2tan^2 A + sin^2 A - 1 .

Posted by Aarav Singhania 3 days, 6 hours ago

CBSE > Class 10 > Mathematics

2 answers

How to solve 3.7×2÷√3

Posted by Palak Gupta 1 day ago

CBSE > Class 10 > Mathematics

1 answers

Prove that √3-2√2 is an irrational

Posted by C.R.Lakshmi Priya 21 hours ago

CBSE > Class 10 > Mathematics

1 answers

(1-COS²)COSEC²=1

Posted by Prashantgangwar Gangwar 2 days, 3 hours ago

CBSE > Class 10 > Mathematics

2 answers

A boat row 30 km up stream and 42 km downstream in 10 hours it can go 40km upstream and 55 km downstream. Determine the speed of the stream and that of the boat in still water

Posted by Krithik E.K 2 days, 15 hours ago

CBSE > Class 10 > Mathematics

1 answers

If 1/2 is a root of the quadratic equation x2-mx-5/4, then value of m is

Posted by Devraj Singh 3 days, 22 hours ago

CBSE > Class 10 > Mathematics

1 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