Simplify \(+2+\) to \(2+\).
\[1\times \sqrt{3\sqrt{8\sqrt{2+}}}\]
Use this rule: \(\sqrt{ab}=\sqrt{a}\sqrt{b}\).
\[1\times \sqrt{3\sqrt{8}\sqrt{\sqrt{2+}}}\]
Simplify \(\sqrt{8}\) to \(2\sqrt{2}\).
\[1\times \sqrt{3\times 2\sqrt{2}\sqrt{\sqrt{2+}}}\]
Use this rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[1\times \sqrt{3\times 2\sqrt{2}{(2+)}^{\frac{1\times 1}{2\times 2}}}\]
Simplify \(1\times 1\) to \(1\).
\[1\times \sqrt{3\times 2\sqrt{2}\sqrt[2\times 2]{2+}}\]
Simplify \(2\times 2\) to \(4\).
\[1\times \sqrt{3\times 2\sqrt{2}\sqrt[4]{2+}}\]
Simplify \(3\times 2\sqrt{2}\sqrt[4]{2+}\) to \(6\sqrt{2}\sqrt[4]{2+}\).
\[1\times \sqrt{6\sqrt{2}\sqrt[4]{2+}}\]
Regroup terms.
\[1\times \sqrt{6\sqrt[4]{2+}\sqrt{2}}\]
Simplify.
\[\sqrt{6\sqrt[4]{2+}\sqrt{2}}\]
sqrt(6*(2+)^(1/4)*sqrt(2))
