Answer
$5|x|\sqrt{3}$.
Work Step by Step
The given expression is
$\sqrt{75x^2}$
The prime factors of $75$ are $=3\cdot 5^2$.
Plug into the given expression.
$\sqrt{3\cdot 5^2x^2}$
Simplify.
$=|5x|\sqrt{3}$
$=5|x|\sqrt{3}$.
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 7 - Test - Page 578: 6
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