# Need help with this Laplace transform

Can anybody show me how to prove this Laplace transform which leads to a complimentary error function? Thanks!!!

$$\int^\infty_0 \frac{\sqrt{a}}{\pi \sqrt{x} (x+a)} e^{-x} dx = e^a erfc(\sqrt{a})$$

I don't know how to separate a factor of $$\sqrt{\pi}$$ from the laplace transform.