Question

find the smallest number by which 1323 must be multiplied so that the product is a perfect cube
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Answer 1

Answer:

Step-by-step explanation:

1323 = 3*3*3*7*7

Cuberoot 1323= cuberoot (3*3*3*7*7)

=3*cuberoot(7^2)

If 1323 is multiplied by 7,

Cuberoot (1323*7) = 3* cuberoot(7^2*7)

= 7*3 = 21

So 1323 needs to be multiplied with 7 to obtain a perfect cube