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Complex nth roots
Author

Murray Eisenberg
Organization: University of Massachusetts
Education level

College
Description

This notebook discusses the n different nth roots of a nonzero complex number and, in particular, of "unity"—the complex number 1. The motivating examples concern cube roots.

Please note that this notebook requires use of David Park's "Presentations" add-on for much of its content.
Subjects

*Education > College
*Mathematics > Algebra
*Teaching
Keywords

Complex Numbers, Complex Roots, Nth Roots of Unity, Cube Roots of Unity, Primitive Cube Root of Unity, Vertices of a Triangle, Polar Representation, Trigonometric Representation, Fundamental Theorem of Algebra
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nthRoots.nb (156.6 KB) - Mathematica Notebook