Square Roots of a Complex Number
- Author:
- James R Olsen
- Topic:
- Angles, Function Graph, Root, Square
This worksheet graphs a number N 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 N = 2 + 0i (which is the real number 2). What are the values for the two square roots:
- 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
- a + bi.
- angle (exact),
- modulus (estimate) (distance from the origin), and
- a + bi (estimate).