Question

prove that 4+root 2 is iratolional

Answer 1

Let us assume that 4+√2 is rational

Now let 4+√2=a/b {where a and b are the integers and b≠0}

=>√2=a-4b/b

We know that a/b is rational

So a-4b/b is rational

Therefore √2 is also rational

But this contradicts the fact that √2 ia rational

So our assumption is wrong

Therefore, 4+√2 is irrational