Question

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

Answer 1

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

$\sqrt[3]{2}$(cos 40 + isin 40)