Question

$$238 \sqrt{ \frac{ 238 }{ 238.33.238 } }$$

Answer

(238*sqrt(238)*sqrt(238.33.238))/238.33.238

Solution


Simplify  \(\sqrt{\frac{238}{238.33.238}}\)  to  \(\frac{\sqrt{238}}{\sqrt{238.33.238}}\).
\[238\times \frac{\sqrt{238}}{\sqrt{238.33.238}}\]
Rationalize the denominator: \(238\times \frac{\sqrt{238}}{\sqrt{238.33.238}} \cdot \frac{\sqrt{238.33.238}}{\sqrt{238.33.238}}=\frac{238\sqrt{238}\sqrt{238.33.238}}{238.33.238}\).
\[\frac{238\sqrt{238}\sqrt{238.33.238}}{238.33.238}\]