Polar Form of Complex Number/Examples/2 root 2 + 2 root 2 i

Example of Polar Form of Complex Number
The complex number $2 \sqrt 2 + 2 \sqrt 2 i$ can be expressed as a complex number in polar form as $\polar {4, \dfrac \pi 4}$.

Proof
Then:

Hence:
 * $\map \arg {2 \sqrt 2 + 2 \sqrt 2 i} = \dfrac \pi 4$

and hence the result.