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

Oct 5, 2016

$11 + i$

#### Explanation:

Summing complex numbers is a piece of cake!

Every complex number has the form $z = \textcolor{red}{a} + \textcolor{b l u e}{b} i$, 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