Answer
$\color{blue}{\sqrt{3}}$
Work Step by Step
RECALL:
$\sqrt[n]{a^m} = a^{m/n}$
Use the rule above to obtain:
$=3^{4/8}
\\=3^{1/2}$
Use the rule $a^{1/2} = \sqrt{a}$ to obtain:
$=\color{blue}{\sqrt{3}}$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter R - Review of Basic Concepts - R.7 Radical Expressions - R.7 Exercises - Page 75: 71
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