Question

prove that the following are irrational. 1/√5​

Answer 1

Answer:

let me do this in my notebook

Answer 2

Hope this helps you.

Answer:

To Prove that; 1/√5 is irrational.

On the contrary, let us suppose that 1/√5 is a Rational Number.

Then, there exists two integers p, q such that

1/√5 = p/q

Step-by-step explanation:

=> 1/√5 = p/q (where p,q≠0)

=> √5/1 = q/p

=> √5 = q/p

But, we know that √5 is irrational.

This contradiction has arise due to our false assumption that 1/√5 is rational, in the beginning.

Therefore, 1/√5 is an Irrational Number.

Hence Proved!