Question

If √2and √3 is given as an irrational number than prove that √3-2√2 is an irrational number

Answer 1

Answer:

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

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

This contradicts the fact that √3 is irrational .

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