Yes it is.
Since the square of an integer is called a perfect square, then the square root of a perfect square must be an integer.
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an integer
Yes. Any integer is a perfect square root.
38 is not a perfect square. Its square root is a fraction and the square root of a perfect square is always an integer.
* Its square root is a whole #. Example: 16 is a perfect square. Its square root is 4. 17 is not a perfect square. Its square root is around 4.123105626
Irrational. The square root of a positive integer is either an integer (that is, if the integer is a perfect square), or an irrational number.