Answer
$10x^{2}\sqrt x$
Work Step by Step
$\sqrt (100x^{5})=\sqrt (100x^{4}\times x)=\sqrt (100x^{4})\times\sqrt x=10x^{2}\sqrt x$
We know that $\sqrt (100x^{4})=10x^{2}$, because $(10x^{2})^{2}=(10\times10)\times x^{2+2}=100x^{4}$.
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 7 - Section 7.3 - Simplifying Radical Expressions - Exercise Set - Page 433: 39
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