Put another way, 5^2 = 25 so we're simply going in reverse.
So the question is: where does -5 belong? Which number set?
The answer is: the set of integers and rational numbers
So that's the two answers
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Extra Info:
The value -5 is not a natural number as the set of natural numbers is {1, 2, 3, 4, 5, ...} basically the set of counting numbers
The same story applies to the set of whole numbers which is {0, 1, 2, 3, ...}
So -5 is not in the set of whole numbers
The value -5 is also not irrational because it is rational. We can write it as a ratio of two integers: -5 = -5/1