inverse Laplace transform for the function $ \frac{\sqrt{a+be^{-sp}+s}}{c}$

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I am trying to find the inverse Laplace transform for the function $$ \frac{\sqrt{a+be^{-sp}+s}}{c}$$ where $a,b,c,p $ are positive constant, and it seems impossible for me to find the answer. Please help me. Thanks in advance.