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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. 25 (page 755)

In the following exercises, approximate each root and round to two decimal places .
$鈸� \sqrt{53} 鈸� \sqrt[3]{147} 鈸� \sqrt[4]{452}$

Short Answer

Expert verified

Prat(a) $\sqrt{53} 鈮� 7.28$

Prat(b) $\sqrt[3]{101} 鈮� 5.28$

Prat(c) $\sqrt[4]{452} 鈮� 4.61$

Step by step solution

01

Part(a) Step 1. Given information

(a) $\sqrt{53}$

Approximate each root and round to two decimal places.

02

Step 2. Explanaiton

Use the calculator square root key.

$\sqrt{53} = 7.2801098892805 \sqrt{53} 鈮� 7.28$

03

Part(b) Step 3. Given information

(b) $\sqrt[3]{147}$

Approximate each root and round to two decimal places.

04

Step 4. Explanation

Use the calculator.

$\sqrt[3]{101} = 5.2776320879041 \sqrt[3]{101} 鈮� 5.28$

05

Part(c) Step 5. Given information

$鈸� \sqrt[4]{452}$

Approximate each root and round to two decimal places.

06

Step 6. Explanation

Use the calculator.

$\sqrt[4]{452} = 4.6108883770342 \sqrt[4]{452} 鈮� 4.61$

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Most popular questions from this chapter

Simplify:

$(a) \sqrt{180 m^{9} n^{11}} (b) \sqrt{72 x^{6} y^{5}} (c) \sqrt{80 x^{7} y^{4}} .$

Simplify:

a. ${(81 n^{\frac{2}{5}})}^{\frac{3}{2}}$ b. ${(a^{\frac{3}{2}} b^{\frac{1}{2}})}^{\frac{4}{3}}$

In the following exercises, use the Product Property to simplify radical expressions a $\sqrt[4]{3125}$ , b. $\sqrt[3]{81}$

Simplify:

a. $\frac{u^{\frac{4}{5}} 路 u^{\frac{- 2}{5}}}{u^{\frac{- 13}{5}}}$ b. ${(\frac{27 x^{\frac{4}{5}} y^{\frac{1}{6}}}{x^{\frac{1}{5}} y^{\frac{- 5}{6}}})}^{\frac{1}{3}}$

In the following exercises, solve.

$\sqrt{6 v - 2} - 10 = 0$

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