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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 8: Q. 3 (page 755)

Simplify the given value.
鈸� $\sqrt{196}$ 鈸� $- \sqrt{1}$

Short Answer

Expert verified

Part (a) $鈬� \sqrt{196} = 14$

Part (b) $鈬� - \sqrt{1} = - 1$

Step by step solution

01

Part (a) Step 1. Given information

鈸� $\sqrt{196}$

Simplify the given value

02

Step (2) Explanation

\begin{array}{l} 鈬� {(14)}^{2} = 196 \\ 鈬� \sqrt{196} = \sqrt{{(14)}^{2}} \\ = 14 \end{array}

03

Part (b) Step 3. Given informaiton

鈸� $- \sqrt{1}$

Simplify the given information

04

Step 4. Explanation

Since $\begin{array}{l} 鈬� {(1)}^{2} = 1 \\ 鈬� 鈭� \sqrt{1} = 鈭� \sqrt{{(1)}^{2}} \\ = - 1 \end{array}$

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Most popular questions from this chapter

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a. $x^{\frac{1}{6}} 路 x^{\frac{4}{3}}$ b. ${(x^{6})}^{\frac{4}{3}}$ c. $\frac{x^{\frac{2}{3}}}{x^{\frac{5}{3}}}$

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