Evaluate: $$16\sqrt {\frac{3}{4}} - 9\sqrt {\frac{4}{3}} $$    if $$\sqrt {12} $$  = 3.46

Solution (By Examveda Team)

$$\eqalign{ & 16\sqrt {\frac{3}{4}} - 9\sqrt {\frac{4}{3}} \cr & \Rightarrow 16\sqrt {\frac{{3 \times 4}}{{4 \times 4}}} - 9\sqrt {\frac{{3 \times 4}}{{3 \times 3}}} \cr & \Rightarrow 16 \times \frac{{\sqrt {12} }}{4} - \frac{{9\sqrt {12} }}{3} \cr & \Rightarrow 4\sqrt {12} - 3\sqrt {12} \cr & \Rightarrow \sqrt {12} \cr & \Rightarrow 3.46 \cr} $$