Question

Prove that 3+5√2 is an irrational number

Answer 1

3+5√2

let 3+5√2 be rational and have only common factor 1.

Let, 3+5√2 = a/b

5√2 = a - 3/ b

5√2 = a-3b/b

if a - 3b / b is rational so, 5√2 is also rational

but it is not possible .

It is contradiction to our assumption .

so, 3+5√2 is a irrational.

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