Yes it is.
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That is because 1x1=1 and to be a square root, a number times the same number, it will be a square root of that number*. *Example 8 times the same number (8) will be 64 and 8 will be the square root of 64.
You get the same number. For example: The square root of 9 is 3. 32 = 9
Yes, a square number means that it is the product of a number times the same number, so if you can divide a number buy the same number you get the square root. 6x6=36 and the square root of 36 is 6. 7x7 is 49 and the square root of 49 is 7. Make sense?
The square root of a number is a value that, when multiplied by itself, gives the original number. The opposite of a square root would be the negative square root of the same number, as it would also multiply by itself to give the original number. For example, the square root of 4 is 2, and the opposite of the square root of 4 would be -2.
The same reasoning you may have seen in high school to prove that the square root of 2 is not rational can be applied to the square root of any natural number that is not a perfect square.