Answer
$|x-5|$.
Work Step by Step
The given expression is
$\sqrt{x^2-10x+25}$
Factor the equation.
$=\sqrt{x^2-5x-5x+25}$
$=\sqrt{x(x-5)-5(x-5)}$
$=\sqrt{(x-5)(x-5)}$
$=\sqrt{(x-5)^2}$
Simplify.
$=|(x-5)|$.
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: 7
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