Problem:

Solve the equation $\displaystyle z^4=4+4i$ and graph the solutions in an argand diagram.

I'm leaning towards a solution where I use:

$\displaystyle |z|(cos(0)+isin(0))$

$\displaystyle z^4=r^4(\cos(4v)+i\sin(4v))$

But it keeps messing up. Help is heavily appriciated.