### Home > A2C > Chapter 9 > Lesson 9.3.2 > Problem9-150

9-150.

Rewrite each of the following division problems as a single complex number.

1. $\frac { 5 + 3 i } { 5 - 3 i }$

Multiply both the numerator and denominator by the denominator's conjugate.

$\frac{(5+3\textit{i})(5+3\textit{i})}{(5-3\textit{i})(5+3\textit{i})}$

$\frac{16+30\textit{i}}{34}$

$\frac{8}{17}+\frac{15}{17}i$

1. $\frac { 7 + 3 i } { 1 - i }$

See part (a).