Answer
$a^{10}|a|$
Work Step by Step
Using $\sqrt{x^2}=|x|$, the given expression, $
\sqrt{a^{22}}
,$ simplifies to
\begin{array}{l}
\sqrt{(a^{11})^2}
\\\\=
|a^{11}|
\\\\=
|a^{10}\cdot a|
\\\\=
a^{10}|a|
.\end{array}
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 10 - Exponents and Radicals - 10.1 Radical Expressions and Functions - 10.1 Exercise Set - Page 634: 45
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