Question

Prove that √2 + √3 is irrational number

Answer 1

Answer:

If √3+√2 is rational/irrational, then so is √3−√2 because √3+√2=1√3−√2 . ... But the sum of two rationals can never be irrational, because for integers a,b,c,d ab+cd=ad+bcbd which is rational.

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Answer 2

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

Step-by-step explanation:

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