MathPlotAI Logo MathPlotAI

Nth Roots of a Complex Number by Brian Sterr

Nth Roots of a Complex Number by Brian Sterr
Loading the math board and drawing, please wait…
2017-03-31 23:54
SequenceCoordinate GeometryComplex Number
This example demonstrates the nth roots of a complex number. Key mathematical concepts include complex numbers and roots. Using GeoGebra commands such as Sequence, Circle, and Textfield, the example dynamically shows the nth roots of a complex number. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Sequence(((r^(1 / n) * cos(θ / n + ((2 * π) * k / n))), (r^(1 / n) * sin(θ / n + ((2 * π) * k / n)))), k, 0, n - 1) → list1
  2. Sequence(((r^(b / n) * cos(((θ / n + ((2 * π) * k / n)) * b))), (r^(b / n) * sin((b * (θ / n + ((2 * π) * k / n)))))), k, 0, n - 1) → L_1
  3. Sequence(CurveCartesian[(r^(t / n) * cos((t * (θ / n + ((2 * π) * k / n))))), (r^(t / n) * sin((t * (θ / n + ((2 * π) * k / n))))), t, 1, b], k, 0, n - 1) → L_2
  4. Circle((0, 0), r^(1 / n)) → d
  5. Circle((0, 0), r^(b / n)) → c
  6. Textfield(r) → InputBox1
  7. Textfield(θ) → InputBox2
  8. Textfield(n) → InputBox3