Given 2 = 1.414, the value of 8 \, + 2 32 \, - 3 128 \,\, + 4 50 is = ?

Answer: Option A

$$\begin{array}{rl}& \sqrt{2}=1.414\\ & \Rightarrow \sqrt{8}\text{ + 2}\sqrt{32}-3\sqrt{128}\text{ + 4}\sqrt{50}\\ & \Rightarrow 2\sqrt{2}+2\times 4\sqrt{2}-3\times 8\sqrt{2}+4\times 5\sqrt{2}\\ & \Rightarrow 2\sqrt{2}+8\sqrt{2}-24\sqrt{2}+20\sqrt{2}\\ & \Rightarrow 6\sqrt{2}\\ & \Rightarrow 6\times 1.414\\ & \Rightarrow 8.484\end{array}$$