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[tex] \frac{7}{ \sqrt{7} - \sqrt{3} } = \frac{7}{ \sqrt{7} - \sqrt{3} } \times \frac{ \sqrt{7} + \sqrt{3} }{ \sqrt{7} + \sqrt{3} } = \frac{7( \sqrt{7} + \sqrt{3} ) }{7 - 3} = \frac{7( \sqrt{7} + \sqrt{3}) }{4} .[/tex]