Which expression is a cube root of -1+ i sqrt 3? (multiple choice)

Answer:
see below
Step-by-step explanation:
Find the magnitude (-1)^2 + (sqrt3)^2 = m^2 m = 2
find the angle arctan (sqrt3/-1) = 120 degrees
the cube root would then be
[tex]\sqrt[3]{2}[/tex](cos 40 + isin 40)