Simplify \(\sqrt{27}\) to \(3\sqrt{3}\).
\[-\frac{2}{3}\times 3\sqrt{3}+\frac{1}{5}\sqrt{300}+5\sqrt{3}\]
Simplify \(\sqrt{300}\) to \(10\sqrt{3}\).
\[-\frac{2}{3}\times 3\sqrt{3}+\frac{1}{5}\times 10\sqrt{3}+5\sqrt{3}\]
Cancel \(3\).
\[-2\sqrt{3}+\frac{1}{5}\times 10\sqrt{3}+5\sqrt{3}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[-2\sqrt{3}+\frac{1\times 10\sqrt{3}}{5}+5\sqrt{3}\]
Simplify \(1\times 10\sqrt{3}\) to \(10\sqrt{3}\).
\[-2\sqrt{3}+\frac{10\sqrt{3}}{5}+5\sqrt{3}\]
Simplify \(\frac{10\sqrt{3}}{5}\) to \(2\sqrt{3}\).
\[-2\sqrt{3}+2\sqrt{3}+5\sqrt{3}\]
Simplify.
\[5\sqrt{3}\]
Decimal Form: 8.660254
5*sqrt(3)
