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Prove that (sqrt(3)/(2) +(i)/(2))^(5) +...

Prove that `(sqrt(3)/(2) +(i)/(2))^(5) + (sqrt(3)/(2) -(i)/(2))^(5)` is purely real.

A

Re(z)=0

B

Im(z)=0

C

Re(z)gt0,Im(z)gt0

D

Re(z)gt0,Im(z)lt0

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