Question

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

Answer 1

see below

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)