Which region on the unit circle contains a cube root of – 8 – 8i?

The number −8 − 8i has an angle of 225° and magnitude 8√2. Its cube roots have angles (225° + 360°k)/3, giving 75°, 195°, and 315° for k = 0, 1, and 2. The root at 75° lies in quadrant I, so the correct choice is “in quadrant I.”

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