Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$360 \sqrt{ \frac{ 360 }{ 360.9.360 } }$$

Answer

(2160*sqrt(10)*sqrt(360.9.360))/360.9.360

Solution


Simplify  \(\sqrt{\frac{360}{360.9.360}}\)  to  \(\frac{\sqrt{360}}{\sqrt{360.9.360}}\).
\[360\times \frac{\sqrt{360}}{\sqrt{360.9.360}}\]
Simplify  \(\sqrt{360}\)  to  \(6\sqrt{10}\).
\[360\times \frac{6\sqrt{10}}{\sqrt{360.9.360}}\]
Rationalize the denominator: \(360\times \frac{6\sqrt{10}}{\sqrt{360.9.360}} \cdot \frac{\sqrt{360.9.360}}{\sqrt{360.9.360}}=\frac{360\times 6\sqrt{10}\sqrt{360.9.360}}{360.9.360}\).
\[\frac{360\times 6\sqrt{10}\sqrt{360.9.360}}{360.9.360}\]
Simplify  \(360\times 6\sqrt{10}\sqrt{360.9.360}\)  to  \(2160\sqrt{10}\sqrt{360.9.360}\).
\[\frac{2160\sqrt{10}\sqrt{360.9.360}}{360.9.360}\]
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