Yes. For example, the square root of 1/9.
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Yes.
Yes. Any terminating decimal is a rational number. Any repeating decimal also.
For a number to be a perfect square, the number's square root has to be a whole number. 9 is a perfect square because its square root is a whole number, 3. If the square root of the number is a decimal, then it is not a perfect square. For example, 13 does not divide evenly so it not a perfect square.
No, it is not.
Well, honey, an imperfect square is a number that doesn't have a whole number as its square root. In other words, it's a square root that's not a nice, neat, whole number like 4 or 9. So, if you're dealing with a number like 5 or 7, you've got yourself an imperfect square on your hands. Hope that clears things up for ya, darling!