Yes. The square root of a positive integer can only be an integer (if your integer is a perfect square), or an irrational number (if it isn't).
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irrational
It is a irrational number. Because the square root of every imperfect square is irrational number.
Yes, square root of 33 is irrational.
The square root of 254 can be said to be irrational.
The square root of 37 is an irrational number.