Determine which regions contain cube roots of 8i. Check all that apply.on real axison imaginary axisquadrant 1quadrant 2quadrant 3quadrant 4

Write 8i in polar form: it has magnitude 8 and angle 90°. Its cube roots have magnitude ∛8 = 2 and angles (90° + 360°k)/3 for k = 0, 1, 2, giving 30°, 150°, and 270°. These lie in quadrant 1, quadrant 2, and on the imaginary axis (the negative imaginary direction), respectively.

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