how can we find cube roots of non perfect cube numbers?

There is no hard and fast rule to find the cube root of those numbers who are not perfect cube.

You have to make approximations by using the prime factorization of the required number.

You can also remember the cube roots of 2 ,3,5 in order to make the approximation a bit easier and quicker. 

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There is no definite cube root of non perfect cube numbers.

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