Question

given √2 is irrational number so prove that (5+3√2) is irrational no

Answer 1

By the method of Contradiction,

let 5+3√2 be a rational number

therefore 5+3√2=x
3√2=x-5
√2=x-5/3

we know √2 is irrational but x is rational
Thus our assumption is false

therefore 5+3√2 is an irrational number

Hence Proved

Answer 2

Hope it helps you....