Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 7 - Section 7.1 - Radical Expressions and Functions - Exercise Set - Page 512: 43

Answer

$|x+6|$

Work Step by Step

The square of a binomial sum is: $(A+B)^2=A^2+2AB+B^2$. $\sqrt[n] {a^n}=|a|$ if $n$ is even. Hence here: $\sqrt{x^2+12x+36}=\sqrt{(x+6)^2}=|x+6|$
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