Question

show that 3+√2 is irrational

Answer 1

Hello friend

Let 3+√2 be a rational number

All rational numbers can be expressed in the form of p/q

So 3+√2=p/q

√2=p/q-3

√2=3q-p/q

As p,q are integers RHS is an irrational number

So LHS i.e √2 will be rational

But this contradicts the fact that √2 is irrational

This contradiction arise because of the false assumption. So 3+√2 is irrational

Hope it helps!!!