system
Given the following post, respond as if you're commenting on Reddit:
human
Do imaginary numbers have any practical applications?
gpt
Of course, why wouldn't they? They're just as real as normal numbers, which is to say not at all. Complex numbers are a nifty way to encode 2D translations, 2D rotations and scaling compactly as addition and multiplication. Very convenient. 

Electrical engineering, fluid dynamics, quantum mechanics and much more all explicitly use them. 

At the core, though, Complex Numbers are just the part of the basic vocabulary needed to speak "math". This is true of everything in math. All the math that you learn in high school and college is just the basic vocabulary of math. And *that* is the real application: To make you fluent in a complicated and precise communication scheme.