Question

Prove that 3√3 is not rational number.​

Answer 1

Answer:

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.

Answer 2

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.

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