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A perfect square is a square of an integer.The set of integers is closed under multiplication. That means that the product of any two integer is an integer. Therefore the square of an integer is an integer.

Integers are rational numbers so the square [which is an integer] is a rational number.


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Q: Why are all the perfect squares are rational number?
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Is the perfect square of 64 a rational or irrational number?

It is a rational number - as are ALL perfect squares.


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