Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 8 - Radical Functions - 8.4 Solving Radical Equations - 8.4 Exercises - Page 654: 70

Answer

$ 4\sqrt{x+2}$

Work Step by Step

Given\begin{equation} \sqrt{x+2}+3 \sqrt{x+2}. \end{equation} Add the radical expressions because the radicand are the same. \begin{equation} \begin{aligned} \sqrt{x+2}+3 \sqrt{x+2}& =\left( 1+3 \right)\sqrt{x+2} \\ & =4\sqrt{x+2}. \end{aligned} \end{equation}
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