Question

Given that ‚àö2 is irrational prove that (5+3‚àö2) is an irrational no.

Answer 1

let (5+3√2) as rational number.
Therefore,
,(5+3√2)=a. where a is a rational no.
√2=a-5/3
So,here (a-5/3) is rational number.so, √2 is also rational.
but,here contradiction arises by assuming (5+3√2)as rational.
Therefore, it should be irrational number...