If $$x = 2 + \sqrt{3}, xy = 1$$, then $$\frac{x}{\sqrt{2} + \sqrt{x}} + \frac{y}{\sqrt{2} - \sqrt{y}} =$$

A

$$\sqrt{2}$$

B

$$\sqrt{3}$$

C

1

D

$$\frac{1}{\sqrt{2}}$$