Simplify \(+\) to .
\[8+\sqrt{2\sqrt{7\sqrt{9\sqrt{}}}}\]
Use this rule: \(\sqrt{ab}=\sqrt{a}\sqrt{b}\).
\[8+\sqrt{2\sqrt{7\sqrt{9}\sqrt{\sqrt{}}}}\]
Since \(3\times 3=9\), the square root of \(9\) is \(3\).
\[8+\sqrt{2\sqrt{7\times 3\sqrt{\sqrt{}}}}\]
Use this rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[8+\sqrt{2\sqrt{7\times 3{}^{\frac{1\times 1}{2\times 2}}}}\]
Simplify \(1\times 1\) to \(1\).
\[8+\sqrt{2\sqrt{7\times 3\sqrt[2\times 2]{}}}\]
Simplify \(2\times 2\) to \(4\).
\[8+\sqrt{2\sqrt{7\times 3\sqrt[4]{}}}\]
Simplify \(7\times 3\sqrt[4]{}\) to \(21\sqrt[4]{}\).
\[8+\sqrt{2\sqrt{21\sqrt[4]{}}}\]
8+sqrt(2*sqrt(21*^(1/4)))
