radicales

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Calcula y simplifica:

\frac{\sqrt{2} \cdot \sqrt{8} \cdot \sqrt{3}}{\sqrt{6}}

SOLUCIÓN

\frac{\sqrt{2} \cdot \sqrt{8} \cdot \sqrt{3}}{\sqrt{6}} =
\frac{\sqrt{2} \cdot \sqrt{8} \cdot \sqrt{3}}{\sqrt{2} \cdot \sqrt{3}} =
\frac{\cancel{\sqrt{2}} \cdot \sqrt{8} \cdot \cancel{\sqrt{3}}}{\cancel{\sqrt{2}} \cdot \cancel{\sqrt{3}}} =
\sqrt{8}=\sqrt{2^3}=2 \sqrt{2}