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 and the modulus is 1. What are the values for the two square roots:
- angle,
- modulus (distance from the origin).
- angle,
- modulus (distance from the origin), and
- a + bi.
- angle,
- modulus (distance from the origin), and
- a + bi.
- angle,
- modulus (distance from the origin), and