The roots of a complex number

Author:
Mr Malkin
Find the kth roots of the red complex number. Change the red complex number by dragging it around or by using the input boxes. Change k by dragging the slider. See how the roots move onto the red complex number by clicking the start button. Draw their paths by clicking the trace button. Questions to get you started:
  • What are the 2nd roots of 4 + 0i? (Draw their paths.)
  • What are the 4th roots of 4 + 0i?
  • What are the 2nd roots of -1 + 0i?