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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 9: Q 443. (page 1124)

Simplify:
a) $\sqrt[3]{27}$
b) $\sqrt[4]{16}$
c) $\sqrt[5]{243}$

Short Answer

Expert verified

a) $\sqrt[3]{27} = 3$

b) role="math" localid="1650560347087" $\sqrt[4]{16} = 2$

c) $\sqrt[5]{243} = 3$

Step by step solution

01

Part (a) Step 1: Given Information

The given expression is $\sqrt[3]{27}$ .

02

Part (a) Step 2: Simplification

As $27 = 3^{3}$

Expression becomes $\sqrt[3]{3^{3}}$

$= 3$

03

Part (b) Step 1: Given Information

The given expression is $\sqrt[4]{16}$ .

04

Part (b) Step 2: Simplification

As $16 = 2^{4}$

Expression becomes $\sqrt[4]{2^{4}}$

=2

05

Part (c) Step 1: Given Information

The given expression is $\sqrt[5]{243}$ .

06

Part (c) Step 2: Simplification

As $243 = 3^{5}$

Expression becomes $\sqrt[5]{3^{5}}$

$= 3$

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