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Roots of Complex Numbers by Walerij Koschkin

Roots of Complex Numbers by Walerij Koschkin
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2016-01-13 03:05
SequenceCoordinate GeometryComplex Number
This example demonstrates the roots of complex numbers. It involves the core mathematical concept of complex number roots. Using GeoGebra commands such as Point, Segment, Angle, Sequence, Distance, Circle, etc., the construction of complex number roots is illustrated. Suitable for high school math education or learning about complex numbers.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Segment(A, z_1) → a
  3. Angle(xAxis, a) → α
  4. Sequence(Rotate[w, ((2 * π) * k / n), (0, 0)], k, 0, n - 1) → list1
  5. Distance((0, 0), z_1) → m
  6. Circle((0, 0), w) → c
  7. Sequence(Segment[(0, 0), Element[list1, k]], k, 1, n) → list2