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

A

1

B

$$\sqrt{2}$$

C

$$\sqrt{3}$$

D

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