A perfect square is the square of an integer. For example, 1 (which is 12), 4 (22) or 9 (32) etc...
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Completing the square would be the same as "Finding the square root" So an example would be 16. 16 is a perfect square so it would reduce to 4.
512 is a not perfect square.
110 is a not perfect square.
40 is a not perfect square.
135 is a not perfect square.