Hi.

I need help in seeing how the following two expressions are equal.

$\displaystyle \frac{\sqrt{6} + \sqrt{2}}{4}$ and $\displaystyle \frac{\sqrt{2}\sqrt{1 + \frac{\sqrt{3}}{2}}}{2}$

I know they both evaluate to the same thing but I'm having a hard time seeing how they are related.

If someone could, perhaps through algebraic manipulation, show how one is equivalent to the other,

I would be immensely grateful.

I don't think it matters but the first arrived at by evaluating $\displaystyle cos \frac{\pi}{12}$ using a sum of angles

formula while the second is what you get if you decide to use a half angle formula.