Question

By which smallest natural number should 135 be divided so that the quotient is a perfect cube?

Answer 1

Step-by-step explanation:

the smallest required number is 2.

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Answer 2

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• By which smallest natural number should 135 be divided so that the quotient is a perfect cube?

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$\sf \sqrt[3]{135}$

$\sf = \sqrt[3]{5 \times3 \times 3 \times 3}$

$\sf = \sqrt[3]{5 \times {3}^{3} }$

$\sf = 3\sqrt[3]{5 }$

Hence,

5 must be divided to make it a perfect cube.

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• 5 must be divided.