Math, asked by prince0538R, 1 month ago

What is the smallest number by which 392 may be divided so that the quotient is a perfect cube?​

Answers

Answered by psupriya789
1

Answer:

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Step-by-step explanation:

Prime factors of 392:

392 = 2  2  2  7  7

Clearly, to make it a perfect cube, it must be divided by (7  7) i.e. 49

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Answered by Princuuu64
1

Answer:

7 is your answer

Step-by-step explanation:

In that case 392 × 7 = 2 × 2 × 2 × 7 × 7 × 7 = 2744 which is a perfect cube. Hence the smallest natural number by which 392 should be multiplied to make a perfect cube is 7.

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