I have never before heard of a non-perfect square but I suppose it would be any
non-zero number that is not the square of an integer.
People sometimes say "perfect square" to mean an integer that is a square of an integer - I think the "perfect" is redundant but if you do not think "square" is clear by itself, say "integer square."
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no 17 is a non-perfect square
It can be. 7 is a non-perfect square and, being an integer, it is rational.
the perfect square is a number that can muliply by its self to equeal its self.
Yes, just take its square root. Since it is an integer, 64 is a perfect square. Alternately, since the square of this integer is 64, 64 is a perfect square, by definition.
No.1/4 is not a perfect square but its square roots are +/- 1/2 which are rational.