Use this rule: \(\sqrt{ab}=\sqrt{a}\sqrt{b}\).
\[\sqrt{20}\sqrt{\sqrt{2}}\]
Simplify \(\sqrt{20}\) to \(2\sqrt{5}\).
\[2\sqrt{5}\sqrt{\sqrt{2}}\]
Use this rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[2\sqrt{5}\times {2}^{\frac{1\times 1}{2\times 2}}\]
Simplify \(1\times 1\) to \(1\).
\[2\sqrt{5}\sqrt[2\times 2]{2}\]
Simplify \(2\times 2\) to \(4\).
\[2\sqrt{5}\sqrt[4]{2}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[{2}^{\frac{5}{4}}\sqrt{5}\]
Decimal Form: 5.318296
2^(5/4)*sqrt(5)
