Simplify \(\sqrt{128}\) to \(8\sqrt{2}\).
\[\frac{1}{2}\times 8\sqrt{2}+3\sqrt{2}+2\sqrt{72}\]
Simplify \(\sqrt{72}\) to \(6\sqrt{2}\).
\[\frac{1}{2}\times 8\sqrt{2}+3\sqrt{2}+2\times 6\sqrt{2}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{1\times 8\sqrt{2}}{2}+3\sqrt{2}+2\times 6\sqrt{2}\]
Simplify \(1\times 8\sqrt{2}\) to \(8\sqrt{2}\).
\[\frac{8\sqrt{2}}{2}+3\sqrt{2}+2\times 6\sqrt{2}\]
Simplify \(2\times 6\sqrt{2}\) to \(12\sqrt{2}\).
\[\frac{8\sqrt{2}}{2}+3\sqrt{2}+12\sqrt{2}\]
Simplify.
\[19\sqrt{2}\]
Decimal Form: 26.870058
19*sqrt(2)
