What's a rule that could be used to simply the square of any square root of a number?

Question

Mathematics

Colt Hendricks

4 March, 08:07

What's a rule that could be used to simply the square of any square root of a number?

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Answers (1)

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Marlene Dodson · Answer 1

Step-by-step explanation:

The squaring function x^2 and the square root function √x are inverses of one another. Because of this, the square of the square root of a number is the number itself: [√x]^2; this is identical to √[ x^ (1/2) ]^2 = x^ (2/2) = x^1.

If we are given the square root of a number, then the number itself is the square of the given square root.

Example: Given x with the info that x is the square root of a number, then the square of that x is x^2.