It is between 13 and 14.
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No number is "between" a single number. In this case, it is the other way round: the square root is between two whole numbers.
What numbers are between square root of 14 on the number line
The square root of 73 is between 8 and 9.
The square root of 57 is between 7 and 8
The square root of 60 is a single number; you can't have other numbers "between" it. It does work the other way, though - the square root of 60 is between other numbers.