Question

prove that √2+√3 is irrational number​

Answer 1

IT IS ALREADY PROVEN THAT √2 AND √3 ARE IRRATIONAL NUMBERS. THUS, IF BOTH ARE IRRATIONAL, HENCE THE SUM OF BOTH WILL BE IRRATIONAL TOO.

HENCE PROVED.

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Answer 2

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Let as assume that √2 + √3 is a rational number .Then , there exists co - prime positive integers p and q such thatThis contradicts the fact that √3 is irrational .so assumption was incorrect . Here √2 + √3 is irrational

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