Question

Is 864 a perfect cube? If not, find the smallest natural number by which 864 must be multiplied so that the product is a perfect cube.
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Answer 1

Answer:

no

Step-by-step explanation:

Cube root of 864 can be represented as 3√864. The value of cube root of one is 864. The nearest previous perfect cube is 729 and the nearest next perfect cube is 1000 . Cube root of 864 can be represented as 3√864

Answer 2

Answer:

2

Step-by-step explanation:

864/2=432

432/2=216

216/2=108

108/2=54

54/2=27=3^3

864=2^5*3^3- it is not the perfect cube

If we multiply the above by 2 we will get a perfect cube:

864*2=2^6*3^3=4^3*3^3=12*3

So the answer is 2 is the smallest number