# Properties of complex numbers.

Given

A=(-1/2+isqrt(3)/2)^n

1. Show that A is real for any natural n

2. Show that for n=3K where K is a natural number, A=2

https://brainmass.com/math/number-theory/properties-complex-numbers-22644

#### Solution Summary

Simple usage of the De-Moivre identity are solved. The natural numbers are given.

$2.19