The potential energy of a particle changes with distance $$x$$ from a fixed origin as $$V = \frac{A\sqrt{x}}{x + B}$$, where $$A$$ and $$B$$ are constants with appropriate dimensions. The dimensions of $$AB$$ are _______.

A

$$[M^1 L^{5/2} T^{-2}]$$

B

$$[M^{3/2} L^{5/2} T^{-2}]$$

C

$$[M^1 L^2 T^{-2}]$$

D

$$[M^1 L^{7/2} T^{-2}]$$