# How do you add (-2 + 5i) + (-4 - 2i)?

Dec 27, 2015

$- 6 + 3 i$

#### Explanation:

Complex numbers in rectangular form may be added directly, ie you simply add the real and imaginary components individually.

That is, $\left(a + i b\right) + \left(x + i y\right) = \left(a + b\right) + i \left(x + y\right)$

So in this particular case :

$\left(- 2 + 5 i\right) + \left(- 4 - 2 i\right) = \left(- 2 - 4\right) + i \left(5 - 2\right)$

$= - 6 + 3 i$.