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Q. 1

Expert-verified

Intermediate Algebra

Found in: Page 755

Book edition OER 2017

Author(s) OPENSTAX

Pages 1346 pages

ISBN 9780998625720

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Short Answer

In the following exercises, simplify.
ⓐ $\sqrt{64}$ ⓑ role="math" localid="1644932848517" $- \sqrt{81}$

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

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

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Part (a) Step 1. Given information

ⓐ $\sqrt{64}$

simplify the given value.

Step 2. Explanation

Since $8^{2} = 64$

$\Rightarrow \sqrt{64} = \sqrt{{(8)}^{2}} \Rightarrow 8$

Step 3. part (b) Given information

ⓑ $- \sqrt{81}$

To simplify.

Step 4. Explanation

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

localid="1644933055554" $\Rightarrow - \sqrt{81} = - \sqrt{{(9)}^{2}} \Rightarrow - 9$

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