Question

Is 40500 a perfect cube? If not
(a) by what number should 40500 be multiplied to obtain a perfect cube?
by what number should 40500 be divided to obtain a perfect cube?​

Answer 1

Answer:

We need to determine what number should be multiplied to 40500 to obtain a perfect cube. For perfect cube we need all the powers must be 3. So we get 40500 x 18 = 729000 and cube root of 729000 = 2 x 3 x 3 x 5 = 90. Hence 18 should be multiplied to 40500 to get perfect cube that is 729000

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