10 + 25 + 108 + 154 + 225 3 8 = ?

Answer: Option D

$$\begin{array}{rl}& \frac{\sqrt{10+\sqrt{25+\sqrt{108+\sqrt{154+\sqrt{225}}}}}}{\text{root}3\text{of}8}\\ & \Rightarrow \frac{\sqrt{10+\sqrt{25+\sqrt{108+\sqrt{169}}}}}{2}\\ & \Rightarrow \frac{\sqrt{10+\sqrt{25+\sqrt{121}}}}{2}\\ & \Rightarrow \frac{\sqrt{10+\sqrt{36}}}{2}\\ & \Rightarrow \frac{\sqrt{16}}{2}\\ & \Rightarrow \frac{4}{2}\\ & \Rightarrow 2\end{array}$$