An algebra problem by Aquilino Madeira

Algebra Level 2

\[\frac{\ {{\left( \ \sqrt{\ 2\,}\ -\ 2\ \sqrt{\ 3\,}\, \right)}^{\,2}}\ -\ 14\ }{\sqrt{\ 588\,}\ -\ \frac{\ 5\ \sqrt{\ 48\,}}{2}}\times \sqrt{2}= \ ? \]

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