Simplify \(135\times 9\) to \(1215\).
\[135\sqrt{\frac{135}{1215}}\]
Simplify \(\sqrt{\frac{135}{1215}}\) to \(\frac{\sqrt{135}}{\sqrt{1215}}\).
\[135\times \frac{\sqrt{135}}{\sqrt{1215}}\]
Simplify \(\sqrt{135}\) to \(3\sqrt{15}\).
\[135\times \frac{3\sqrt{15}}{\sqrt{1215}}\]
Use this rule: \(\sqrt{ab}=\sqrt{a}\sqrt{b}\).
\[135\times \frac{3\sqrt{15}}{\sqrt{1215}\sqrt{1}}\]
Simplify \(\sqrt{1215}\) to \(9\sqrt{15}\).
\[135\times \frac{3\sqrt{15}}{9\sqrt{15}\sqrt{1}}\]
Simplify \(\sqrt{1}\) to \(1\).
\[135\times \frac{3\sqrt{15}}{9\sqrt{15}\times 1}\]
Simplify \(9\sqrt{15}\times 1\) to \(9\sqrt{15}\).
\[135\times \frac{3\sqrt{15}}{9\sqrt{15}}\]
Cancel \(\sqrt{15}\).
\[135\times \frac{3}{9}\]
Use this rule: \(a \times \frac{b}{c}=\frac{ab}{c}\).
\[\frac{135\times 3}{9}\]
Simplify \(135\times 3\) to \(405\).
\[\frac{405}{9}\]
Simplify.
\[45\]
45
