Complex Numbers Further

A Brief Introduction to Complex Numbers

Stage: 4 and 5 Challenge Level: Challenge Level:1

In this problem, we define complex numbers and invite you to explore what happens when you add and multiply them.

A Brief Introduction to the Argand Diagram

Stage: 4 and 5 Challenge Level: Challenge Level:1

Complex numbers can be represented graphically using an Argand diagram. This problem explains more...

Complex Squares

Stage: 5 Challenge Level: Challenge Level:1

What happens when we square complex numbers? Can the square of a complex number be real?

Thousand Words

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Here the diagram says it all. Can you find the diagram?