The value of 72 × 363 × 175 32 × 147 × 252 is?

Answer: Option D

$$\begin{array}{rl}& \frac{\sqrt{72}\times \sqrt{363}\times \sqrt{175}}{\sqrt{32}\times \sqrt{147}\times \sqrt{252}}\\ & \Rightarrow \frac{\sqrt{2\times 2\times 2\times 3\times 3}\times \sqrt{11\times 11\times 3}\times }{\sqrt{2\times 2\times 2\times 2\times 2}\times \sqrt{3\times 7\times 7}\times }....\frac{\sqrt{5\times 5\times 7}}{\sqrt{2\times 2\times 3\times 3\times 7}}\\ & \Rightarrow \frac{6\sqrt{2}\times 11\sqrt{3}\times 5\sqrt{7}}{4\sqrt{2}\times 7\sqrt{3}\times 6\sqrt{7}}\\ & \Rightarrow \frac{6\times 11\times 5}{4\times 7\times 6}\\ & \Rightarrow \frac{55}{28}\end{array}$$