yes
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No, it isn't. It would be, if that "36" in the middle were "24" instead.
All numbers have factors. Some factors are perfect squares. We call these perfect square factors. 9 is a perfect square factor of 27.
729, cube of 9 and square of 27
For a number to be a perfect square, the number's square root has to be a whole number. 9 is a perfect square because its square root is a whole number, 3. If the square root of the number is a decimal, then it is not a perfect square. For example, 13 does not divide evenly so it not a perfect square.
It is both because 27*27 = 729 and 9*9*9 = 729