How to prove that 3+√2 is a irrational number?

1.	How to prove that 3+√2 is a irrational number?
Answer» Let us assume , to the contray , that 3+/2 is rationalThat is why can find coprime a and b (b =0)such that 3+/2=a/bReranging , we get root 2=a/3bSince , 3, a and b aree integers,a/3b is rational , and so root 2 is rationalBut this contradicts the fact that root 2 is irrationalSo, we conclude that 3+root 2 is irrational

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