#### 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.

Published by
Pearson

ISBN 10:
0321726391

ISBN 13:
978-0-32172-639-1

$|x+2|$

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