n-th Roots in the Complex Plane
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This example illustrates the geometric ideas behind complex n-th roots. It involves concepts such as complex roots and reflections. Using the Sequence command in GeoGebra, the n-th roots of a complex number can be constructed. Suitable for high school mathematics education and learning.
GeoGebra Commands & Parameters
Sequence((abs(z_1)^(1 / n) * exp((ί * (arg(z_1) / n + ((2 * k) * π / n))))), k, 0, n - 1) → list1