Answer
$-13\sqrt[3] 3$
Work Step by Step
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: $-13\sqrt[3] 3$