Evaluate: 16 3/4 - 9 4/3 if 12 = 3.46

Answer: Option A

$$\begin{array}{rl}& 16\sqrt{\frac{3}{4}}-9\sqrt{\frac{4}{3}}\\ & \Rightarrow 16\sqrt{\frac{3\times 4}{4\times 4}}-9\sqrt{\frac{3\times 4}{3\times 3}}\\ & \Rightarrow 16\times \frac{\sqrt{12}}{4}-\frac{9\sqrt{12}}{3}\\ & \Rightarrow 4\sqrt{12}-3\sqrt{12}\\ & \Rightarrow \sqrt{12}\\ & \Rightarrow 3.46\end{array}$$