Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Section 10.1 - Radical Expressions and Radical Functions - Exercise Set: 59

Answer

$|x+2|$

Work Step by Step

$\sqrt{x^2+4x+4}=\sqrt{(x+2)^2}=|x+2|$ First factor the perfect square trinomial. For expressions under the radical sign with an even index, the outcome is inside absolute value bars to ensure a positive result.
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