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

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

A

Re (z) = 0

B

Im (z) = 0

C

`Re (z) gt 0, Im (z) = 0 `

D

`Re (z) gt 0, Im (z) lt 0 `

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The correct Answer is:
B
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