2 3 32 - 3 3 4 + 3 500 = ?

Answer: Option C

$$\begin{array}{rl}& 2\text{root}3\text{of}32-3\text{root}3\text{of}4+\text{root}3\text{of}500\\ & =2\text{root}3\text{of}{2}^3\times 4-3\text{root}3\text{of}4+\text{root}3\text{of}{5}^3\times 4\\ & =2\times 2\text{root}3\text{of}4-3\text{root}3\text{of}4+5\text{root}3\text{of}4\\ & =9\text{root}3\text{of}4-3\text{root}3\text{of}4\\ & =6\text{root}3\text{of}4\end{array}$$