Question

find the the smallest number by which 864 should be multiplied to get a perfect cube​

Answer 1

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Step-by-step explanation:

What is the smallest number by which 864 must be multiplied with to make the quotient a perfect cube?

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First , we find the index of 864 .we distribute the factors into three ,and find the uncompleted one

Index of 864 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Grouping them into 3s, we have

(2 x 2 x 3) x (2 x 2 x 3) x (2 x 3)

2 is missing from the last index

To make the quotient a perfect cube,we multiply 2 by 2 x 3

To make the quotient a perfect cube we multiply by 2

Answer 2

I hope you understand

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