Complex Number Arithmetic

Question

+1

31

1

+86

Simplify $\left(\dfrac{-1+i\sqrt{3}}{2}\right)^6+\left(\dfrac{-1-i\sqrt{3}}{2}\right)^6.$

eramsby1010 May 14, 2024

cooIcooIcooI17 · Answer 1 · 2024-05-26T03:04:38

By De Moivre's Theorem, this simplifies to 1 + i.