Is the cube root always a whole number?

Answer 1

"Most of the time" is somewhat problematic, since we are dealing with infinite sets of numbers. But it is tempting to say that. The fact is, any number can be a cube root, since you can cube any number by multiplying it by itself twice. But the cube root of a whole number is always either a whole number or an irrational number. And it is true that if N is any reasonably large whole number (say, 1000 or more), the majority (in fact, at least 99%) of the whole numbers from 1 to N have irrational cube roots.

Answer 1

No. Most of the time it's an irrational number.