### Home > A2C > Chapter 9 > Lesson 9.3.2 > Problem9-142

9-142.
1. So far you have been able to extend the rules for real numbers to add, subtract, and multiply complex numbers, but what about dividing? Can you use what you know about real numbers to divide one complex number by another? In other words, if a problem looks like this:

What needs to be done to get an answer in the form of a single complex number, a + bi?

2. Natalio had an idea. He said, “I'll bet we can use the conjugate!

$\frac{(3+2\textit{i})(-4-7\textit{i})}{(-4+7\textit{i})(-4-7\textit{i})}=\frac{2-29\textit{i}}{65}$
$\frac{2}{65}-\frac{29}{65}\textit{i}$