# Adding complex numbers

From Graphic maths

**Level: A Level Maths**

To add two complex numbers, you must add the real and imaginary parts separately.

## Example

Suppose we have two complex numbers:

To add them, we add the real and imaginary parts, like this:

## Vector interpretation

Here are the complex numbers , , and their sum , shown as vectors on an Argand diagram.

The position of can be found by adding the two vectors for and , as shown below: