Since \(2\times 2=4\), the square root of \(4\) is \(2\).
\[4+\sqrt{1\times \sqrt{3\times 2}}\]
Simplify \(3\times 2\) to \(6\).
\[4+\sqrt{1\times \sqrt{6}}\]
Simplify \(1\times \sqrt{6}\) to \(\sqrt{6}\).
\[4+\sqrt{\sqrt{6}}\]
Use this rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[4+{6}^{\frac{1\times 1}{2\times 2}}\]
Simplify \(1\times 1\) to \(1\).
\[4+\sqrt[2\times 2]{6}\]
Simplify \(2\times 2\) to \(4\).
\[4+\sqrt[4]{6}\]
Decimal Form: 5.565085
4+6^(1/4)