Question: $\left( \frac{- 1 + \sqrt{- 3}}{2} \right)^{1000}$ +\(\left( \frac{- 1 - \sqrt{- 3}}{2} \right)^{1...

Question

$\left( \frac{- 1 + \sqrt{- 3}}{2} \right)^{1000}$ + $\left( \frac{- 1 - \sqrt{- 3}}{2} \right)^{1000}$ is equal to-

Answer 1

Sol. w¹⁰⁰⁰ + (w²)¹⁰⁰⁰ = w + w² = –1

Question: \(\left( \frac{- 1 + \sqrt{- 3}}{2} \right)^{1000}\) +\(\left( \frac{- 1 - \sqrt{- 3}}{2} \right)^{1...