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Prove that 5+2 root 3 is …

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Prove that 5+2 root 3 is an irrational no .

Posted by Lakshay Kochhar 6 years, 3 months ago

CBSE > Class 10 > Mathematics

3 answers

Yogita Ingle 6 years, 3 months ago

Let us assume that 5+2√3 is rational

5+2√3 = p/q ( where p and q are co prime)

2√3 = p/q-5

2√3 = p-5q/q

√3 = p-5q/2q

now p , 5 , 2 and q are integers

∴ p-5q/2q is rational

∴ √3 is rational

but we know that √3 is irrational . This is a contradiction which has arisen due to our wrong assumption.

∴ 5+2√3 is irrational

1Thank You

S Boyz 6 years, 3 months ago

See in maths book

1Thank You

Ravenclaw_? Raunak 6 years, 3 months ago

It's not easy to type the answer here man ....yo can easily check it out in your book chapter 1 exercise 2 solved question or you can also watch it on YouTube ....

1Thank You

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CBSE > Class 10 > Mathematics