CPM Homework Help : CCA2 Problem 8-149

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

Step 1(a):

Multiply by a Giant One using the conjugate of the denominator.

$\frac{5 + 3i}{5-3i} \cdot \frac{5 + 3i}{5+ 3i}$

Step 2(a):

$\frac{(5+3i)(5+3i)}{(5-3i)(5+3i)} =\frac{16 + 30i}{34}$

Answer (a):

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

Hint (b):

See part (a).