Question

2. Prove that following numbers are irrationals: 4+√2​

Answer 1

Step-by-step explanation:

Let us assume at

4√2 is rational number

Then , there exists coprime positive integers p&q such that

4√2 =p/q

√2 = p/4q ( p&q are interger)

p/4q is rational

√2 is rational

This contradict the fact that√2 is irrational.So our assumption is incorrect.

Hence 4√2 is irrational

I hope it will help you