Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 10 - Exponents and Radicals - 10.1 Radical Expressions and Functions - 10.1 Exercise Set - Page 634: 40

Answer

$|a+3|$

Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the properties of radicals to simplify the given expression, $ \sqrt{(a+3)^2} .$ $\bf{\text{Solution Details:}}$ Since $\sqrt{x^2}=|x|$ for any real value $x,$ the expression above simplifies to \begin{array}{l}\require{cancel} \sqrt{(a+3)^2} \\\\= |a+3| .\end{array}
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