Simplifying $100/(50 + sqrt{(a + sb)/sc}) $ to take inverse Laplace transform

I have the following function:

$100/(50 + sqrt{(a + sb)/sc}) $ where a, b, and c, are constants and $s=jomega$. I have tried using inverse Laplace calculators online, but I get that there are no solutions in terms of standard functions. I have tried to simplify by hand, but I cannot get far enough to the point where I can simply use a table. How do I simplify this?