Question: simplify problem

I would like to simplify the following (very simple) expression:

e1:= -(b*(b^2 - 4*a*c)^(1/2) - 4*a*c + b^2)/(2*a*(b^2 - 4*a*c)^(1/2))

whis is exactly equal to

e2: = -(b + (b^2 - 4*a*c)^(1/2))/(2*a)

But the "simplify" command is not able to produce expression "e2". Is there any general way how to enforce simplifying to get expected result?

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