Problems

01

Complex roots using polar

Find the three cube ($3^{\text{rd}}$) roots of $27i$.

Write your answer in the form $a+bi$.

02

Complex roots using polar

Find each of the indicated roots.

(a) The four $4^{\text{th}}$ roots of $1$.

(b) The three cube ($3^{\text{rd}}$) roots of $\sqrt{2}+\sqrt{2}i$.

Try to write your answer in $a+bi$ form if that is not hard, otherwise leave it in polar form.