Question

Prove that 3√3 is not a rational number​

Answer 1

Proof:

let's assume that 3√3 is rational. we know that rational number x irrational number is always irrational. But 3√3 x √3 = 9 which is rational.

This contradicts our earlier hypothesis that 3√3 was rational. Therefore 3√3 is irrational

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