I am asked to find the inverse of $\displaystyle f(x)=ln(x+\sqrt{x^2 +1})$

I understand the basics of how to find the inverse but I get stuck on solving this one. Here is what I have so far.

$\displaystyle y=ln(x+\sqrt{x^2 +1})$

$\displaystyle e^y =x+ \sqrt{x^2+1}$

I'm not sure how to proceed from here. I thought maybe squaring both sides would be the next step but I can never come up with the correct answer. How do I solve this?