$\left( \frac{- 1 + \sqrt{- 3}}{2} \right)^{100} + \left( \frac{- 1 - \sqrt{- 3}}{2} \right)^{100}$ is equal to

Question

Dr. Abubacker · Accepted Answer

(c)
$\left( \frac{- 1 + \sqrt{- 3}}{2} \right)^{100} + \left( \frac{- 1 - \sqrt{- 3}}{2} \right)^{100}$
$= \omega^{100} + \omega^{200} = \omega + \omega^{2} = - 1$

Q. $\left( \frac{- 1 + \sqrt{- 3}}{2} \right)^{100} + \left( \frac{- 1 - \sqrt{- 3}}{2} \right)^{100}$ is equal to

Explanation

Reviewed by Dr. Abubacker

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