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Question: The value of \(\left( \frac{1 + i\sqrt{3}}{1 - i\sqrt{3}} \right)^{6} + \left( \frac{1–i\sqrt{3}}{1 ...

The value of (1+i31−i3)6+(1–i31+i3)6\left( \frac{1 + i\sqrt{3}}{1 - i\sqrt{3}} \right)^{6} + \left( \frac{1–i\sqrt{3}}{1 + i\sqrt{3}} \right)^{6}is –

A

2

B

–2

C

1

D

0

Answer

2

Explanation

Solution

Sol. (ω2ω)6+(ωω2)6\left( \frac{\omega^{2}}{\omega} \right)^{6} + \left( \frac{\omega}{\omega^{2}} \right)^{6}= 2.