No, all perfect square numbers are not even numbers.
Eg. the square of 3 is 9. (32=9)
To generalize the proof:
If p is odd then p=2n+1 and p2=(2n+1)2=4n2+4n+1=2(2n2+2n)+1
So odd numbers have odd square
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Assuming you know that your number is a perfect square, the square root of an even number is even, and the square root of an odd number is odd.
A square number is a number that is the result of multiplying an integer by itself. For example, 1, 4, 9, 16, and 25 are square numbers because they are the result of 1x1, 2x2, 3x3, 4x4, and 5x5 respectively. While square numbers can be odd or even, they are always whole numbers.
It depends what square number you're looking at. The square number 25 has only three factors (1, 5 and 25) but the square number 16 has 5 (1, 2, 4, 8 and 16.) A key point is that the factors don't pair up. There is always one middle factor that is the square root of the number and so cannot pair with any other factor. This means that all square numbers have an odd number of factors, while other numbers have an even number of factors.
NO this number is way far from irrational, first of all let's classify this number, it's an integer, whole number, rational, even a perfect square. This number has two numbers that are not irrational. one example is 11, 11 those numbers are rational so the product can't be irrational.
The smallest integer is 11 but there is no smallest number! 0.11 is a smaller number and will give a perfect square. 0.0011 is smaller still, and 0.000011 even smaller. That sequence is endless!