Example

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

Question

$$238 \sqrt{ \frac{ 238 }{ 238.38.238 } }$$

Answer

(238*sqrt(238)*sqrt(238.38.238))/238.38.238

Solution


Simplify  \(\sqrt{\frac{238}{238.38.238}}\)  to  \(\frac{\sqrt{238}}{\sqrt{238.38.238}}\).
\[238\times \frac{\sqrt{238}}{\sqrt{238.38.238}}\]
Rationalize the denominator: \(238\times \frac{\sqrt{238}}{\sqrt{238.38.238}} \cdot \frac{\sqrt{238.38.238}}{\sqrt{238.38.238}}=\frac{238\sqrt{238}\sqrt{238.38.238}}{238.38.238}\).
\[\frac{238\sqrt{238}\sqrt{238.38.238}}{238.38.238}\]
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