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no, -6 is the cube root of -216.
All numbers have cube roots (not necessarily integral cube roots) so every prime has cube roots.
There are 3 cube roots and these are:the real root -1.2599and the complex roots 0.6300 - 1.0911i and its conjugate, 0.6300 + 1.0911i.
Yes.
There are 3 cube roots of 27. There are 2 square roots of 27 ( or any real number ). There are 4 fourth roots of 27 and so on:)