# Thread: How do I simplify this expression?

1. ## How do I simplify this expression?

I would like to simplify:

$\sqrt{e^{-2t} + e^{2t} + 2}$,

as I have to take the integral of this

2. Originally Posted by jenkki
I would like to simplify:
$\sqrt{e^{-2t} + e^{2t} + 2}$,
as I have to take the integral of this
Just a little algebra gets us:
$\sqrt{e^{-2t} + e^{2t} + 2}=\dfrac{e^{2t}+1}{e^t}$

3. Here's one more hint for you in case you don't see the "intermediary steps" in Plato's computation.

Compute $(e^t+e^{-t})^2$ by FOILing.