What do you mean with "the" two square numbers? There are infinitely many square numbers, not just two. Just square any counting number (0, 1, 2, 3, 4, etc.), and the result is a so-called square number.
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16, which is the square of 4, is a two digit even number.
The two square roots of the number, '169', are +13 and -13 .
The answer to this question confuses me. The square root of two is an irrational number, so obviously if the square root of two is squared it becomes two which is a rational number. Thinking of it that way then the answer is yes, the square of an irrational number can be a rational number. But . . . You had to know beforehand that the irrational number was the square root of another number. If you start out with an irrational number such as Pi you cannot square it because you cannot know the entire number in order to square it.
9, the square of 3, and 4, the square of 2
The quotient when the square root of a number n is divided by two?