Yes, they are.
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Yes. In fact, they are integers.
Every integer is a rational number, and some integers are perfect squares. These are the only rational numbers to have an integral square root.
No. The square roots of perfect squares are rational.
Yes. Not only that, they are counting numbers.
yes it can All perfect squares are rational numbers as the definition of a perfect square is a number which is the product of an integer with itself. An integer is a rational number, and multiplying an integer by an integer produces another integer.