A number squared gives a squared number (this is what the result is called), which I think is what you are asking.
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A Square number is what we get as the result of squaring an integer. Squaring means multiplying a number by itself. So It is called thus because of the way the area of a perfect square is calculated. Example: 16 is a square number. 16 = 4 x 4
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.
When a number is multiplied by itself it is called the square of the number. It is called a square number as the number of dots or points represented by the number can be arranged in a square.
"Perfect square" means that you square a whole number. Sometimes simply called "square" or "square number". "Difference of two squares" is the result of subtracting one such square from another. In most cases, the difference will not itself be a square.
No, 21 is not a square number. A square number is the result of multiplying an integer by itself, and 21 cannot be expressed as the square of an integer.