Q:

# What is the definition of a "non-perfect square"?

A:

A non-perfect square is an integer whose square root is not a whole number. For example, 25 is a perfect square because its square root is 5, which is a whole number; however, 10 is a non-perfect square because its square root is a repeating decimal.

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If any whole number such as 3, 7, or 13 is squared, the result is a perfect square despite the fact that these numbers themselves are non-perfect squares. If a number's square root is an integer, or whole number, the original number is a perfect square; if a number's square root is not an integer, the original number is a non-perfect square.

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