Q: What is a rational number whose cube root is a whole number?

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That's a perfect cube.

It could be 27 because 3*3*3 = 27

a perfect cube

Yes.

There are two answers 1 and 64

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How about 27 whose cube root is 3 which is a rational whole number.

a perfect cube

That's a perfect cube.

The answer is: perfect cube

It could be 27 because 3*3*3 = 27

a perfect cube

Yes.

sure , take cube root of 3, that is irrational, but when you cube it you have 3 which is clearly rational! Doctor Chuck aka mathdoc

There are two answers 1 and 64

No.

It is called a perfect cube.

It is a perfect cube.