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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. 23 (page 755)

In the following exercises, approximate each root and round to two decimal places.
鈸� $\sqrt{19}$ 鈸� $\sqrt[3]{89}$ 3 鈸抮ole="math" localid="1645106545782" $\sqrt[4]{97}$

Short Answer

Expert verified

Part(a) $\sqrt{19} 鈮� 4.36$

Part(b) $\sqrt[3]{89} 鈮� 3.65$

Part(c)localid="1645107768636" $\sqrt[4]{97} 鈮� 3.14$

Step by step solution

01

Part(a) Step 1. Given inforamtion

(a) $\sqrt{19}$

Approximate each root and round to two decimal places.

02

Step 2. Explanation

Use the calculator square root key.

$\sqrt{19} = 4.358898$

Round to two decimal places.

$鈬� 4.36 \sqrt{19} 鈮� 4.36$

03

Part (b) step 3. Given information

(b) $\sqrt[3]{89}$

Approximate each root and round to two decimal places.

04

Step 4. Explanaiton

Use the calculator.

$\sqrt[3]{89} = = 3.65930571 \sqrt[3]{89} 鈮� 3.65$

05

Part (c) Step 5 Given inforamtion

(c) $\sqrt[4]{97}$

Approximate each root and round to two decimal places.

06

Step 6. Explanation

Use the calculator

$\sqrt[4]{97} = 3.13828899$

Round to two decimal places.

$\sqrt[4]{97} 鈮� 3.14$

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Most popular questions from this chapter

In the following exercises, write with a rational exponent.

$(a) \sqrt[3]{a} (b) (\sqrt[4]{21 v})^{3} (c) \sqrt[4]{{(\frac{2 x y}{5 z})}^{2}}$

Use the Quotient Property to simplify square roots.

(a) $\frac{\sqrt{80 q^{5}}}{\sqrt{5 q}}$

(b) $\frac{\sqrt[3]{- 625}}{\sqrt[3]{5}}$

(c) $\frac{\sqrt[4]{80 m^{7}}}{\sqrt[4]{5 m}}$

Simplify: $\sqrt{\frac{24 p^{3}}{49}} .$

In the following exercises, write with a rational exponent.

$鈸� \sqrt[7]{x} 鈸� \sqrt[9]{y} 鈸� \sqrt[5]{f}$

In the following exercises, simplify.

(a) $64^{\frac{5}{2}}$

(b) $81^{\frac{- 3}{2}}$

(c) ${(- 27)}^{\frac{2}{3}}$

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