Chapter 7 - Section 7.4 - Adding, Subtracting, and Multiplying Radical Expressions - Exercise Set - Page 438: 6

$29\sqrt{2}$

Using the properties of radicals, then, \begin{array}{l} 4\sqrt{32}-\sqrt{18}+2\sqrt{128} \\= 4\sqrt{16\cdot2}-\sqrt{9\cdot2}+2\sqrt{64\cdot2} \\= 4\cdot4\sqrt{2}-3\sqrt{2}+2\cdot8\sqrt{2} \\= 16\sqrt{2}-3\sqrt{2}+16\sqrt{2} \\= 29\sqrt{2} .\end{array}