Simplify \(\sqrt{216}\) to \(6\sqrt{6}\).
\[6\sqrt{6}-5\sqrt{6}+\sqrt{294}-\frac{3}{\sqrt{6}}\]
Simplify \(\sqrt{294}\) to \(7\sqrt{6}\).
\[6\sqrt{6}-5\sqrt{6}+7\sqrt{6}-\frac{3}{\sqrt{6}}\]
Rationalize the denominator: \(\frac{3}{\sqrt{6}} \cdot \frac{\sqrt{6}}{\sqrt{6}}=\frac{3\sqrt{6}}{6}\).
\[6\sqrt{6}-5\sqrt{6}+7\sqrt{6}-\frac{3\sqrt{6}}{6}\]
Simplify.
\[\frac{45\sqrt{6}}{6}\]
Decimal Form: 18.371173
(45*sqrt(6))/6
