What are complex numbers and how do they work?

What are complex numbers and how do they work?

Complex numbers are numbers that have a real part and an imaginary part, expressed as a + bi, where 'i' is the imaginary unit.

Can you give me an example of a complex number?

Sure! An example of a complex number is 3 + 4i, where 3 is the real part and 4i is the imaginary part.

How do you add and subtract complex numbers?

To add or subtract complex numbers, you combine their real parts and their imaginary parts separately. For example, (2 + 3i) + (1 + 4i) = (2+1) + (3+4)i = 3 + 7i.

What about multiplying complex numbers?

When multiplying complex numbers, you use the distributive property and remember that i² = -1. For example, (1 + 2i)(3 + 4i) = 3 + 4i + 6i + 8i² = 3 + 10i - 8 = -5 + 10i.