Here we will answer the question: "Is 529 a square number?" You could also ask "Is 529 a perfect square?" Square number and perfect square mean the same thing.
Anyway, for 529 to be a square number, 529 must be the product of an integer multiplied by itself. In other words, the square root of 529 must equal a whole number (integer).
The square root of 529 is 23 which is an integer. Thus, 529 is a square number.
The answer to the question: "Is 529 a square number?" is Yes.
The answer to the question: "Is 529 a perfect square?" is also Yes.
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