Example

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

Question

$$135 \sqrt{ \frac{ 135 }{ 135.9.135 } }$$

Answer

(405*sqrt(15)*sqrt(135.9.135))/135.9.135

Solution


Simplify  \(\sqrt{\frac{135}{135.9.135}}\)  to  \(\frac{\sqrt{135}}{\sqrt{135.9.135}}\).
\[135\times \frac{\sqrt{135}}{\sqrt{135.9.135}}\]
Simplify  \(\sqrt{135}\)  to  \(3\sqrt{15}\).
\[135\times \frac{3\sqrt{15}}{\sqrt{135.9.135}}\]
Rationalize the denominator: \(135\times \frac{3\sqrt{15}}{\sqrt{135.9.135}} \cdot \frac{\sqrt{135.9.135}}{\sqrt{135.9.135}}=\frac{135\times 3\sqrt{15}\sqrt{135.9.135}}{135.9.135}\).
\[\frac{135\times 3\sqrt{15}\sqrt{135.9.135}}{135.9.135}\]
Simplify  \(135\times 3\sqrt{15}\sqrt{135.9.135}\)  to  \(405\sqrt{15}\sqrt{135.9.135}\).
\[\frac{405\sqrt{15}\sqrt{135.9.135}}{135.9.135}\]
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