Yes, a perfect square is a number that has an integer square root.
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Any integer is a perfect square oot (of its square). So 300 is a perfect square root of 90000.
The square root of a positive integer can ONLY be:* Either an integer, * Or an irrational number. (The proof of this is basically the same as the proof, in high school algebra books, that the square root of 2 is irrational.) Since in this case 32 is not the square of an integer, it therefore follows that its square root is an irrational number.
The square root of 27 is an irrational number
The square root of 61 is an irrational number
It is irrational. * The square root of any positive integer, except of a perfect square, is irrational. * The product of an irrational number and a rational number (except zero) is irrational.