CPM Homework Help : A2C Problem 10-51

Write the reciprocal of each of the following in simplest form.

$\sqrt { 2 } + \sqrt { 2 } i$
Hint (a):
$\frac{1}{\sqrt{2}+\sqrt{2}\textit{i}}\cdot \frac{\sqrt{2}-\sqrt{2}\textit{i}}{\sqrt{2}-\sqrt{2}\textit{i}}$
Answer (a):
$\frac{\sqrt{2}-\sqrt{2}\textit{i}}{4}=\frac{\sqrt{2}}{4}-\frac{\sqrt{2}}{4}\textit{i}$

$1 - \sqrt { 3 }$
Hint (b):
See part (a).
Answer (b):
$\frac{-1-\sqrt{3}}{2}=-\frac{1}{2}-\frac{\sqrt{3}}{2}$