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Find the smallest number by which the following number must be multiplied to obtain a perfect cube.

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255

256

100

answer is D.

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Detailed Solution

On prime factorization of 100 we get,

https://cdn1.byjus.com/wp-content/uploads/2020/08/ncert-solution-for-class-8-maths-chapter-7-image-10.jpeg

100 =100 = 2×2×5×5
Because,
2 and 5 both cannot form triplets of equal factors.
Therefore, 100 must be multiplied with 10 i.e. 2×5 to get a perfect cube.

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