Simplify \(567\times 8\) to \(4536\).
\[567\sqrt{\frac{8}{4536}}\]
Simplify \(\sqrt{\frac{8}{4536}}\) to \(\frac{\sqrt{8}}{\sqrt{4536}}\).
\[567\times \frac{\sqrt{8}}{\sqrt{4536}}\]
Simplify \(\sqrt{8}\) to \(2\sqrt{2}\).
\[567\times \frac{2\sqrt{2}}{\sqrt{4536}}\]
Use this rule: \(\sqrt{ab}=\sqrt{a}\sqrt{b}\).
\[567\times \frac{2\sqrt{2}}{\sqrt{4536}\sqrt{1}}\]
Simplify \(\sqrt{4536}\) to \(18\sqrt{14}\).
\[567\times \frac{2\sqrt{2}}{18\sqrt{14}\sqrt{1}}\]
Simplify \(\sqrt{1}\) to \(1\).
\[567\times \frac{2\sqrt{2}}{18\sqrt{14}\times 1}\]
Simplify \(18\sqrt{14}\times 1\) to \(18\sqrt{14}\).
\[567\times \frac{2\sqrt{2}}{18\sqrt{14}}\]
Rationalize the denominator: \(567\times \frac{2\sqrt{2}}{18\sqrt{14}} \cdot \frac{\sqrt{14}}{\sqrt{14}}=\frac{567\times 2\sqrt{2}\sqrt{14}}{18\times 14}\).
\[\frac{567\times 2\sqrt{2}\sqrt{14}}{18\times 14}\]
Simplify \(567\times 2\sqrt{2}\sqrt{14}\) to \(1134\sqrt{2}\sqrt{14}\).
\[\frac{1134\sqrt{2}\sqrt{14}}{18\times 14}\]
Simplify \(1134\sqrt{2}\sqrt{14}\) to \(1134\sqrt{28}\).
\[\frac{1134\sqrt{28}}{18\times 14}\]
Simplify \(\sqrt{28}\) to \(2\sqrt{7}\).
\[\frac{1134\times 2\sqrt{7}}{18\times 14}\]
Simplify \(1134\times 2\sqrt{7}\) to \(2268\sqrt{7}\).
\[\frac{2268\sqrt{7}}{18\times 14}\]
Simplify \(18\times 14\) to \(252\).
\[\frac{2268\sqrt{7}}{252}\]
Simplify.
\[9\sqrt{7}\]
Decimal Form: 23.811762
9*sqrt(7)
