Yes. 2 x 2 = 4
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Simple, four.
A perfect square is a rational number equal to the square of a whole number.
Some square roots of whole numbers are integers, some of them are irrational numbers. The square root of four for instance is a rational number, 2. The square root of two however is an irrational number, approximately 1.414211356.
When the whole number is a perfect square, ie it is a whole number squared.
The square root of 15 is not a whole number.