Question

find the smallest number by which 8788 must be multiplied to obtain a perfect cube

Answer 1

For a given number x. x cube would be a x×x×x which means x^3
A given natural number is a perfect cube if it can be expressed as a product of the triplets of equal factor.

hence write the given factor as a product of prime
8788= 2×2×(13×13×13)
in order to make it a perfect cube we have to multiply it with 2
(while multiplying we have to multiply with both the sides)
so
2×8788=2×2×2×13×13×13
17576=(2×13)^3
so the perfect cube is 26 and the smallest number by which 8788 must be multiplied to obtain a perfect cube is 2 .

Hope this helps you

Answer 2

hey mate !

Here is your answer »»»»»»»»»»

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Step 1— Express 8788 as a product of its prime factors

8788 = 2 × 2 ×[13 × 13 × 13]

Step 2— Since "2" is the only group which is not in triplets, we need to multiply "2" to the number

8788 × 2 = 17576 which is a perfect cube

Therefore, the smallest number required to multiply to 8788 is 2.

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Hope this helps
@PoojaBBSR