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If z=(sqrt(3)/2+i/2)^5+(sqrt(3)/2-i/2)^5...

If `z=(sqrt(3)/2+i/2)^5+(sqrt(3)/2-i/2)^5` , then prove that `Im(z)=0`

A

R(z) `gt 0` and `I(z) gt 0`

B

`R(z) lt 0` and `I(z) gt 0`

C

`R(z) = -3`

D

I(z) = 0

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The correct Answer is:
D
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