\[\frac{c + 2\sqrt{\text{cd}} + d}{c - d} =\]
\[= \frac{\left( \sqrt{c} + \sqrt{d} \right)^{2}}{\left( \sqrt{c} - \sqrt{d} \right)\left( \sqrt{c} + \sqrt{d} \right)} =\]
\[= \frac{\sqrt{c} + \sqrt{d}}{\sqrt{c} - \sqrt{d}}.\]