Question

( 1 ) prove 5 is irrational
( 2 ) prove 2 is irrational

Answer 1

Step-by-step explanation:

Lets assume that √2 is rational

√2 = p/q ( where p,q are co primes)

2 = p²/q²

p² = 2q²________(1)

if 2 divides p² then 2 also divided p

so we can write p= 2a

put in eq(1)

(2a)² = 2q²

4a² = 2q²

2a² = q²

if 2 divides q² then 2 also divides q

Then 2 will be the common factor of both p,q

But it contradicts the fact that p,q. are coprimes

So our assumption is wrong

So, √2 is irrational

Answer 2

I think your question is prove that root5 is irrational and root2 is irrational.

If your question is like the above then answer to your question is in the page below with proper explanations.

Hope it is helpful.