Polar Form of Complex Number/Examples/-root 6 - root 2 i

Example of Polar Form of Complex Number
The complex number $-\sqrt 6 - \sqrt 2 i$ can be expressed as a complex number in polar form as $\polar {2 \sqrt 2, \dfrac {7 \pi} 6}$.

Proof

 * -root 6 - root 2 i.png

Then:

Hence:
 * $\map \arg {-\sqrt 6 - \sqrt 2 i} = \dfrac {7 \pi} 6$

and hence the result.