The root of a perfect square will be an integer, but will be both the positive and negative values. For instance, the square root of 4 is plus or minus 2 (±2), as both integral answers are valid. The positive real root is the answer that many books give. It is
sometimes called the primary root. But the key point is both roots are valid.
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There are two square roots of a perfect square: a positive number and the same number as a negative number. The square root of a perfect square will always be an integer.