If z^(2)+z+1=0, where z is a complex num...

If `z^(2)+z+1=0`, where `z` is a complex number, then the value of `(z+(1)/(z))^(2)+(z^(2)+(1)/(z^(2)))^(2)+(z^(3)+(1)/(z^(3)))^(2)+....+(z^(6)+(1)/(z^(6)))^(2)` is

A

18

B

54

C

6

D

12

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The correct Answer is:

D

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