Chapter 10 - Section 10.4 - Adding, Subtracting, and Multiplying Radical Expressions - Practice - Page 706: 5

$-13\sqrt[3] 3$

Step 1: $\sqrt[3] 24 - 4\sqrt[3] 192 + \sqrt[3] 3$ Step 2: $\sqrt[3] (3\times8) - 4\sqrt[3] (3\times64) + \sqrt[3] 3$ Step 3: $\sqrt[3] 3\sqrt[3] 8 - 4\sqrt[3] 3\sqrt[3] 64 + \sqrt[3] 3$ Step 4: $2\sqrt[3] 3 - (4\times4)\sqrt[3] 3 + \sqrt[3] 3$ Step 5: $2\sqrt[3] 3 - 16\sqrt[3] 3 + \sqrt[3] 3$ Step 6: $(2-16+1)\sqrt[3] 3$ Step 7: $-13\sqrt[3] 3$