Demo, without a calculator
A "Demo"?
Without resorting to a calculator, simplify \( \left( \dfrac{1+i\sqrt{3}}{\sqrt{3}+i}\right)^{2020} \)
Of course, we wouldn't ask if there weren't something interesting going on.
A "Demo"? 12-27-20 Simplify ((1+i√3)/(√3+i))^2020 sans tech
— David Marain (@dmarain) December 27, 2020