# Defining and Simplifying Complex Numbers

> When you try to solve the equation x^2 + 1 = 0, there is no real number that works. This led mathematicians to create a completely new type of number called a complex number. Complex numbers extend…

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## More in Complex Numbers

- [Argand Diagram Argument and Polar Form](https://www.hlayiso.com/grade-12/technical-mathematics/notes/complex-numbers/argand-diagram-argument-and-polar-form) — Previous section
- [All Complex Numbers sections](https://www.hlayiso.com/grade-12/technical-mathematics/notes/complex-numbers)

## Frequently asked questions

### What will I learn in "Defining and Simplifying Complex Numbers"?

This section covers Defining and Simplifying Complex Numbers as part of Complex Numbers in Grade 12 Technical Mathematics. You'll find clear explanations, worked examples, and key definitions aligned to the CAPS curriculum.

### Is this section aligned with the CAPS curriculum?

Yes. All notes on Hlayiso, including "Defining and Simplifying Complex Numbers", are written against the official CAPS curriculum and ATP for Grade 12 Technical Mathematics.

### What should I study after "Defining and Simplifying Complex Numbers"?

Continue with the next section in Complex Numbers, or test your understanding with the interactive quiz linked to this section.

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