perfect squares
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A prime number is a positive integer with two factors: one and the number itself. A squared number is any integer multiplied by itself. With the exception of 1, all squared numbers are composite.
That means there is an integer which, when squared, is exactly equal to 64.
No.
Both are rational numbers.
The question is ambiguous. If you meant negative (64 squared), the value is -4096, which is a negative integer. If, instead, you meant (negative 64) squared, the value is +4096, a positive integer.