Evaluate $$\int_{0}^{\frac{\pi}{2}} \frac{\surd (\sin x)}{\surd (\sin x)+\surd (\cos x)}$$ dx

A

$$\frac{\pi}{4}$$

B

$$\frac{\pi}{8}$$

C

$$\frac{\pi}{2}$$

D

$$\frac{\pi}{16}$$