Write the following complex numbers in the polar form: `-3sqrt(2)+3sqrt(2)i`

Explanation

Modulus`abs(z)=sqrt((-3sqrt 2)^2+(3 sqrt 2)^2)=6`

`tan alpha= abs(frac{Im(z)}{Re(z)})`

`tan alpha=1=>alpha=frac{pi}{4}`

The point representing `z` lies in the second quadrant.

Argument `theta` of `z` id `theta=pi-alpha=pi-(frac{pi}{4})=(3pi)/4`

Polar form is `z=6(cos(3pi)/4+i sin( 3pi)/4)`