Simplify \(789\times 4\) to \(3156\).
\[789\sqrt{\frac{789}{3156}}\]
Simplify \(\sqrt{\frac{789}{3156}}\) to \(\frac{\sqrt{789}}{\sqrt{3156}}\).
\[789\times \frac{\sqrt{789}}{\sqrt{3156}}\]
Use this rule: \(\sqrt{ab}=\sqrt{a}\sqrt{b}\).
\[789\times \frac{\sqrt{789}}{\sqrt{3156}\sqrt{1}}\]
Simplify \(\sqrt{3156}\) to \(2\sqrt{789}\).
\[789\times \frac{\sqrt{789}}{2\sqrt{789}\sqrt{1}}\]
Simplify \(\sqrt{1}\) to \(1\).
\[789\times \frac{\sqrt{789}}{2\sqrt{789}\times 1}\]
Simplify \(2\sqrt{789}\times 1\) to \(2\sqrt{789}\).
\[789\times \frac{\sqrt{789}}{2\sqrt{789}}\]
Cancel \(\sqrt{789}\).
\[789\times \frac{1}{2}\]
Simplify.
\[\frac{789}{2}\]
Decimal Form: 394.5
789/2
