Since \(3\times 3=9\), the square root of \(9\) is \(3\).
\[3+\sqrt{6\sqrt{8\times 3}}+\]
Simplify \(8\times 3\) to \(24\).
\[3+\sqrt{6\sqrt{24}}+\]
Simplify \(\sqrt{24}\) to \(2\sqrt{6}\).
\[3+\sqrt{6\times 2\sqrt{6}}+\]
Simplify \(6\times 2\sqrt{6}\) to \(12\sqrt{6}\).
\[3+\sqrt{12\sqrt{6}}+\]
Use this rule: \(\sqrt{ab}=\sqrt{a}\sqrt{b}\).
\[3+\sqrt{12}\sqrt{\sqrt{6}}+\]
Simplify \(\sqrt{12}\) to \(2\sqrt{3}\).
\[3+2\sqrt{3}\sqrt{\sqrt{6}}+\]
Use this rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[3+2\sqrt{3}\times {6}^{\frac{1\times 1}{2\times 2}}+\]
Simplify \(1\times 1\) to \(1\).
\[3+2\sqrt{3}\sqrt[2\times 2]{6}+\]
Simplify \(2\times 2\) to \(4\).
\[3+2\sqrt{3}\sqrt[4]{6}+\]
3+2*sqrt(3)*6^(1/4)+