Question

given root 2 is irrational prove that (5+3root2) is an irrational number

Answer 1

Given:root2 is irrational

Now,let us assume that 5 +3root2 is rational

So,

5+3root2 = a/b

3root2 = a/b-5 =a-5b/b

Root2 = a-5b/3b

But we know that root2 is irrational

So, our assumption was wrong.

Hence 5+3root2 is irrational.

Hence proved

Answer 2

ARYAN......PVT...LTD.....