Complex numbers

Complex numbers combine a real part and an imaginary part.

Quick answer

Complex numbers combine a real part and an imaginary part.

Main formula
z = a + bi, where i² = -1.
Quick example
The number 3 + 2i has real part 3 and imaginary part 2.

Definition

Complex numbers combine a real part and an imaginary part.

Main idea

z = a + bi, where i² = -1.

Example

The number 3 + 2i has real part 3 and imaginary part 2.

How to study it

Write the known values, identify the operation, substitute carefully and check the result with the inverse idea when possible.