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Any number can have only one square. That for 60 is 3600.
Such a number does not exist. 3600 is 60 squared and 4900 is 70 squared There is no number between 60 and 70 that is a multiple of 15 so there can be no square between 3600 and 4900 that is a multiple of 15.
The square root of (any number that isn't a perfect square) is irrational.
regrs
60 is neither a square number nor a prime number.