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What are the positive and negative square roots of $16$ ? $\newline$ and

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Full solution

Q. What are the positive and negative square roots of

16

?

\newline

____ and ____

Find Principal Square Root: Find the principal square root of $16$ . $\newline$ To find the principal square root, we look for a number that, when multiplied by itself, gives the original number, which is $16$ in this case. $\newline$ $4 \times 4 = 16$ $\newline$ Therefore, the principal square root of $16$ is $4$ .
Determine Negative Square Root: Determine the negative square root of $16$ . Since the square of a positive number is the same as the square of its negative counterpart, we can find the negative square root by simply taking the negative of the principal square root found in Step $1$ . $-4 \times -4 = 16$ Thus, the negative square root of $16$ is $-4$ .

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