Chapter 10 - Section 10.4 - Adding, Subtracting, and Multiplying Radical Expressions - Practice - Page 706: 7

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

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