Simplify \(9-\frac{25}{4}\) to \(\frac{11}{4}\).
\[\frac{1}{2}\times 5\sqrt{\frac{11}{4}}\]
Simplify \(\sqrt{\frac{11}{4}}\) to \(\frac{\sqrt{11}}{\sqrt{4}}\).
\[\frac{1}{2}\times 5\times \frac{\sqrt{11}}{\sqrt{4}}\]
Since \(2\times 2=4\), the square root of \(4\) is \(2\).
\[\frac{1}{2}\times 5\times \frac{\sqrt{11}}{2}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{1\times 5\sqrt{11}}{2\times 2}\]
Simplify \(1\times 5\sqrt{11}\) to \(5\sqrt{11}\).
\[\frac{5\sqrt{11}}{2\times 2}\]
Simplify \(2\times 2\) to \(4\).
\[\frac{5\sqrt{11}}{4}\]
Decimal Form: 4.145781
(5*sqrt(11))/4