\(w^2v\) in Polar Form

Algebra Level 3

Given \(w=3+3i\) and \(v=-2 \sqrt{3}+2i,\) \(w^2v\) can be expressed as \(r(\cos \alpha^{\circ}+i\sin \alpha^{\circ}),\) where \(r\) is a real number and \(0 \leq \alpha \leq 360.\) What is the value of \(r+\alpha?\)