**Hint:**You can adjust the default video playback speed in your account settings.

**Hint:**You can set your subtitle preferences in your account settings.

**Sorry!**Looks like there’s an issue with video playback 🙁 This might be due to a temporary outage or because of a configuration issue with your browser. Please see our video player troubleshooting guide to resolve the issue.

# Complex Numbers

**00:06**
A complex number is expressed in the form of *ax* + *bj*. It has two elements—the real element and the imaginary part, where *j* is the square root of -1.

**00:21**
If your maths has gone to a certain level, you probably have come across complex and imaginary numbers. They’re useful in a number of fields and Python is perfectly happy dealing with them.

**00:34**
Creating complex numbers is easily done as you can see here. The form `a = 2+3j`

gives us `a`

, and if we look at the type of `a`

, you can see it’s of the `<class 'complex'>`

. In this class, it’s possible to do mathematical operations, such as addition.

**00:54**
Let’s define another number `b = 3+5j`

.

**01:02**
Adding `a + b`

gives us what we’d expect, `(5+8j)`

. You can multiply them, such as `a * a`

gives us `(-5+12j)`

.

**01:16**
Complex numbers in Python are capable of doing any of the sort of arithmetic as you’d expect to be able to do with them in mathematical work. So if you’re doing anything that involves complex numbers, you’ll be able to use this data type to allow you to do it simply and easily.

Become a Member to join the conversation.

alvesmigon Feb. 5, 2024Hi, a complex number is expressed in the form

and not like showed in the slide`a + bj`

.`ax + bj`

PS: I like your teaching style.

Best regards Miguel