Verified answer

By DeMoivre's Theorem, we have...

z = (1 - i√3)^(½)

cos(x) = 1

sin(x) = -√3

tan(x) = -√3

x = arctan(-√3)

x = {-π/3, 2π/3...}

Now, you determine the radius... The statement that is not the root of z² = 1 - i√3 doesn't have the same solutions... Make sure to check with your calculator to determine the right angles and radii..

Good luck!