Answer
$4x\sqrt{5}$
Work Step by Step
$\sqrt{10x} \cdot \sqrt{8x}$
By the product rule for square roots
$=\sqrt{10x \cdot 8x}$
$=\sqrt{80x^{2}}$
$=\sqrt{16\cdot5\cdot x^{2}}$
$=\sqrt{16} \cdot \sqrt{x^{2}} \cdot \sqrt{5}$
$=4x\sqrt{5}$
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 - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.3 - Page 48: 18
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