Solve for z:
z^2 = 21 - 20 i
Take the square root of both sides:
z = sqrt(21 - 20 i) or z = -sqrt(21 - 20 i)
21 - 20 i = 25 - 20 i - 4 = 25 - 20 i + 4 i^2 = (-2 i + 5)^2:
z = 5 - 2 i or z = -sqrt(21 - 20 i)
21 - 20 i = 25 - 20 i - 4 = 25 - 20 i + 4 i^2 = (-2 i + 5)^2:
z = 5 - 2 i or z = -5 - 2 i