Regroup terms.
\[\sqrt{5}+2+\frac{1}{2\sqrt{5+}}\]
Rationalize the denominator: \(\frac{1}{2\sqrt{5+}} \cdot \frac{\sqrt{5+}}{\sqrt{5+}}=\frac{\sqrt{5+}}{2\times 5+}\).
\[\sqrt{5}+2+\frac{\sqrt{5+}}{2\times 5+}\]
Simplify \(2\times 5\) to \(10\).
\[\sqrt{5}+2+\frac{\sqrt{5+}}{10+}\]
Simplify \(10+\) to \(10\).
\[\sqrt{5}+2+\frac{\sqrt{5+}}{10}\]
sqrt(5)+2+sqrt(5+)/10
