Let w = r e^alpha i be any nonzero complex number. then w has n nth roots: n solutions to the equation z^n = r e^i alpha or r^n e^intheta = r e^i alpha which have r = r^1/n and theta = alpha/n + 2pik/n. the nth roots of w are w^1/n = z = r^1/n ei(alpha/n + 2pik/n), where k = 0, 1, 2, n-1. the n nth roots of w are equispaced on the circle c of radius r^1/n centered at the origin. draw the circle c, and then find the three 3rd roots of i. the circle c has radius the angle difference (in radians) between adjacent 3th roots is draw the circle c, and then find the four 4th roots of -16. the circle c has radius the angle difference (in radians) between adjacent 4th roots is draw the circle c, and then find the two square roots (2nd roots! ) of 1 + i. the circle c has radius . the angle difference (in radians) between adjacent square roots is .