SOLUTION: how do we tell, without using the calculator to find explicitly, whether a square root, cube root, or in general an n-root exist for any real number?

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Question 266252: how do we tell, without using the calculator to find explicitly, whether a square root, cube root, or in general an n-root exist for any real number?
Answer by asuar010(338) About Me  (Show Source):
You can put this solution on YOUR website!
The rule is, when the nth-root is odd the answer is always a real number, no matter the sign, if the nth-root is even then the answer is only a real number when the number inside the root is positive; if it is negative, then the answer is an imaginary number,