Question

demoivre's theorem
A.Write (-2-2i)^7 in a+bi form
B. Find the five fith roots of the complex number 1/2 -(sqrt3/2i).

Answer 1

first write \(-2-2i\) in the form \(r(\cos(\theta)+i\sin(\theta))\)
\[r=\sqrt{a^2+b^2}=\sqrt{2^2+2^2}=\sqrt8\]

Answer 2

to find \(\theta\) if you plot the number it will be more or less obvious what the angle is