Question

Prove that (√3+√2) 2 is an irrational number. Step by step

Answer 1

Let as assume that √2 + √3 is a rational number .

Then , there exists co - prime positive integers p and q such that

see the attachment

This contradicts the fact that √3 is irrational .

so assumption was incorrect . Here √2 + √3 is irrational.

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