Solve the Problem $$\begin{array} { l } z = 2 + 2 i \\w = \sqrt { 3 } - i\end{array}$$

Multiple Choice

Solve the problem. Leave your answer in polar form.
- $$\begin{array} { l } z = 2 + 2 i \\w = \sqrt { 3 } - i\end{array}$$
Find zw.

A) $4 \sqrt { 2 } \left( \cos \frac { 23 \pi } { 12 } + i \sin \frac { 23 \pi } { 12 } \right)$
B) $4 \left( \cos \frac { \pi } { 12 } + i \sin \frac { \pi } { 12 } \right)$
C) $4 \left( \cos \frac { 23 \pi } { 12 } + i \sin \frac { 23 \pi } { 12 } \right)$
D) $4 \sqrt { 2 } \left( \cos \frac { \pi } { 12 } + i \sin \frac { \pi } { 12 } \right)$