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    Properties of complex numbers.

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    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

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    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.

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