8 is a perfect cube; it is not a perfect square. Its square root is a fraction and the square root of a perfect square is always an integer.
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A perfect square has the condition that it must be any positive integer multiplied by itself. The closest perfect squares to 50 are 7*7 = 72 = 49 and 8*8 = 82 = 64 since 50 lies between 49 and 64, it must be it is not the square of a positive integer and, therefore, is not a perfect square.
Well, darling, the perfect square factor of 12 is 4. You see, 4 times 4 equals 16, which is the closest perfect square without going over 12. So, there you have it, 4 is the perfect square factor you're looking for.
Even though 9/64 is 3/8 multiplied by itself, the term "perfect square" only applies to integers.
30 is not a perfect square. Its square root is a fraction and the square root of a perfect square is always an integer.