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2021 AMC 12A Question 13

AMC12 · 2021 AMC 12A

Question 13

Of the following complex numbers $z,$ which one has the property that $z^5$ has the greatest real part?
  1. $-2$
  2. $-\sqrt3 + i$
  3. $-\sqrt2 + \sqrt2\, i$
  4. $-1 + \sqrt3\, i$
  5. $2i$