If x = 3 + 2 , then the value of ( x + 1/x )\, is?

Answer: Option B

$$\begin{array}{rl}& x=\sqrt{3}+\sqrt{2}\\ & \frac{1}{x}=\frac{1}{\sqrt{3}+\sqrt{2}}\times \frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}-\sqrt{2}}\\ & \frac{1}{x}=\sqrt{3}-\sqrt{2}\\ & \therefore x+\frac{1}{x}\\ & =\sqrt{3}+\sqrt{2}+\sqrt{3}-\sqrt{2}\\ & =2\sqrt{3}\end{array}$$