prove that 3√3 is an irrational number
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Let 3√3 be a rational number say r .
Then 3√3 = r
√3 = (1/3) r
(1/3) r is a rational number because product of two rational number is a rational number is a rational number.
⇒ √3 is a rational number but √3 is not a rational number .
Therefore our assumption 3√3 is a rational number is wrong.
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