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What are the positive and negative square roots of $64$ ? $\newline$ and

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Full solution

Q. What are the positive and negative square roots of

64

?

\newline

____ and ____

Find Principal Square Root: Find the principal square root of $64$ . $\newline$ To find the principal square root, we look for a number that, when multiplied by itself, gives the original number, which is $64$ in this case. $\newline$ $8 \times 8 = 64$ $\newline$ Therefore, $\sqrt{64} = 8$
Determine Negative Square Root: Determine the negative square root of $64$ . The negative square root is simply the negative value of the principal square root found in Step $1$ . So, $-\sqrt{64} = -8$

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