# nth Roots in the Complex Plane

The green points arranged around the circle in the right-hand pane are the

*n*th roots of the blue point,*c*, in the left-hand pane. The slider in the left-hand pane allows you to see the*n*th roots for other values of*n*. The circle in the right-hand pane shows the magnitudes of the*n*th roots.- What effect does changing
*n*have on the roots? - Under what circumstances are there two real roots?
- Under what circumstances are there two pure imaginary roots?
- Are there any circumstances when there are no real roots? One real root? Three real roots?

## New Resources

## Discover Resources

Download our apps here: