Question

How do you simplify `(6-3i)+(5+4i)`?

Answer 1

`11+i`

Explanation:

Summing complex numbers is a piece of cake!

Every complex number has the form `z=color(red)(a)+color(blue)(b)i`, where `a` and `b` are real numbers (the real part and the imaginary part of `z`) and `i` is the imaginary unit.

To sum two complex numbers, you simply need to sum the real and complex numbers together! So:

`(color(red)6-color(blue)3i)+(color(red)5+color(blue)4i) =color(red)6+color(red)5-color(blue)3i+color(blue)4i =color(red)11+(color(blue)(-3+4))i =color(red)11+i`