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Q. 1

Expert-verifiedFound in: Page 755

Book edition
OER 2017

Author(s)
OPENSTAX

Pages
1346 pages

ISBN
9780998625720

In the following exercises, simplify.

ⓐ $\sqrt{64}$ ⓑ role="math" localid="1644932848517" $-\sqrt{81}$

Part (a) $\Rightarrow \sqrt{64}=8$

Part (b)$-\sqrt{81}=-9$

ⓐ $\sqrt{64}$

simplify the given value.

Since ${8}^{2}=64$

$\Rightarrow \sqrt{64}=\sqrt{{\left(8\right)}^{2}}\phantom{\rule{0ex}{0ex}}\Rightarrow 8\phantom{\rule{0ex}{0ex}}$

ⓑ$-\sqrt{81}$

To simplify.

Since ${9}^{2}=81$the negative is in front of the radical sign.

localid="1644933055554" $\Rightarrow -\sqrt{81}=-\sqrt{{\left(9\right)}^{2}}\phantom{\rule{0ex}{0ex}}\Rightarrow -9\phantom{\rule{0ex}{0ex}}$

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