Simplifying complex square

1. Apr 7, 2012

charmedbeauty

1. The problem statement, all variables and given/known data

Simplify ($\sqrt{3+4i}$+$\sqrt{3-4i}$)$^{2}$

2. Relevant equations

3. The attempt at a solution

well I tried expanding it out but I dont think that is the right approach but I have no other idea to tackle the problem?

so by expanding I had 6+2($\sqrt{3+4i}$)($\sqrt{3-4i}$)

But then I didnt know where to go

$$(\sqrt{3+4i})(\sqrt{3-4i})=\sqrt{(3+4i)(3-4i)}$$