Question

Help me, please :(
question:What is the smallest whole number that you could multiply 49392 by so that the product is a perfect cube?

Answer 1

Answer:

answer is in the attachment..

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Answer 2

$\bold\red{\underline{\underline{Answer:}}}$

$\bold{49392 \ should \ multiply \ by \ 12}$

$\bold{to \ make \ it \ perfect \ cube.}$

$\bold\green{\underline{\underline{Solution}}}$

49392=2×2×2×2×3×3×7×7×7

For getting perfect cube of this number we should multiply 12.

49392×12=592704

Now,

Cube root of 592704 is 84.

Therefore,

$\bold\purple{49392 \ should \ multiply \ by \ 12}$

$\bold\purple{to \ make \ it \ perfect \ cube.}$