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