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What is $-\sqrt{81}$ ? $\newline$ ____

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Positive and negative square roots

Full solution

Q. What is

-\sqrt{81}

?

\newline

____

Focus on $81$ : Let's first focus on $81$ in $-\sqrt{81}$ . $\newline$ Write $81$ as a square number. $\newline$ $9$ multiplied by itself twice gives $81$ . $\newline$ $81 = 9 \times 9$ $\newline$ $81 = 9^2$
Write $81$ as square number: We know: $81 = 9^2$ $\newline$ Find the value of $-\sqrt{81}$ . $\newline$ $-\sqrt{81} = -\sqrt{9^2}$ $\newline$ Square and square root cancel each other out. $\newline$ $-\sqrt{81} = -9$

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