Well, the basic idea is that every positive number is the square of some number. For example, 2 is the square of a number known as the square root of 2; 3 is the square of a number known as the square root of 3; etc. The "perfect squares" are the squares of integers. That would make all other numbers "non-perfect squares", though this term is not usually used in practice.
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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.
A number multiplied by itself is a perfect square as for example 5 times 5 = 25 which is a perfect square
the perfect square is a number that can muliply by its self to equeal its self.
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."