# Square Roots of a Complex Number - With Sliders

- Author:
- James R Olsen

- Topic:
- Angles, Function Graph, Root, Square

This worksheet graphs a number N, using sliders for the angle and modulus, and finds the 2 square roots of N. The roots are are and .

**Experiment:**Manipulate N (click and drag) and see the relationships involving the 2 square roots.

*Uncheck*the three boxes showing the values for the numbers.

**Questions:**

**Q1.**Move N so that the angle is 60

- angle,
- modulus (distance from the origin).

**Q2.**Move N so that the angle is 90

- angle,
- modulus (distance from the origin), and
- a + bi.

**Q3.**Move N so that the angle is 180

- angle,
- modulus (distance from the origin), and
- a + bi.

**Q4.**Move N so that the angle is -20

- angle,
- modulus (distance from the origin), and

*check your answers*by checking the three checkboxes to reveal the values.]