Algebra: A Combined Approach (4th Edition)

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

Chapter 10 - Section 10.4 - Adding, Subtracting, and Multiplying Radical Expressions - Practice: 7

Answer

$2\sqrt[4] 2 + 4\sqrt 2$

Work Step by Step

Step 1: $\sqrt[4] 32 + \sqrt 32$ Step 2: $\sqrt[4] (2\times16) + \sqrt (2\times16)$ Step 3: $\sqrt[4] 2\sqrt[4] 16 + \sqrt 2\sqrt 16$ Step 4: As $\sqrt[4] 16=2$ and $\sqrt 16=4$, the expression becomes $2\sqrt[4] 2 + 4\sqrt 2$
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