If x = 3 - 5 , then the value of x2 - 16x + 6 is?

Answer: Option C

$$\begin{array}{rl}& \sqrt{x}=\sqrt{3}-\sqrt{5}\\ & \left(\text{Squaring both sides}\right)\\ & \Rightarrow x=3+5-2.\sqrt{3.}\sqrt{5}\\ & \Rightarrow x=8-2\sqrt{15}\\ & \Rightarrow x-8=-2\sqrt{15}\\ & \left(\text{Squaring both sides}\right)\\ & \Rightarrow x^2+64-16x=60\\ & \Rightarrow x^2+4-16x=0\\ & \Rightarrow x^2+6-16x=2\\ & \Rightarrow x^2-16x+6=2\end{array}$$