Answer
$2x\sqrt5$
Work Step by Step
$\sqrt 10x\times\sqrt2x=\sqrt(10x\times2x)=\sqrt (20x^{2})=\sqrt (4x^{2}\times5)=\sqrt (4x^{2})\times \sqrt5=2x\sqrt5$
We know that $\sqrt(4x^{2})=2x$, because $(2x)^{2}=2^{2}x^{2}=4x^{2}$.
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: 43
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