Answer
$4x\sqrt3$
Work Step by Step
$\frac{\sqrt 96x^{3}}{\sqrt 2x}=\sqrt \frac{96x^{3}}{2x}=\sqrt 48x^{2}=\sqrt (16x^{2}\times3)=\sqrt 16x^{2}\times \sqrt3=4x\sqrt3$
We know that $\sqrt 16x^{2}=4x$, because $(4x)^{2}=4^{2}x^{2}=16x^{2}$.
College Algebra (6th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-32178-228-3
ISBN 13:
978-0-32178-228-1
Chapter P - Summary, Review, and Test - Review Exercises - Page 90: 46
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