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Answer: The difference between the square root of x and squared is either x or -x. Answer: The square root is the inverse function of the square function. That means that it's basically the opposite. Asking for the square root of "x" is like asking "what number must I square to get 'x'".
A principal square root is any square root that's answer is positive, and a perfect square root is a square root that's answer is an integer.
That would be a number to the 6th power, like 64.
Here are some examples. x1/2 = square root of x; x1/3 = cubic root of x; in general, x1/n = nth root of x. Also, x2/3 = the square of the cubic root of x, or equivalently, the cubic root of the square of x.
The SD is the (positive) square root of the variance.