CPM Homework Help : A2C Problem 9-150

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

Step 1(a):

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

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

Step 2(a):

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

Answer (a):

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

Hint (b):

See part (a).