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[tex] \tt \frac{4}{10 - \sqrt{6} } = . \: . \: . \tt \tt \tt \tt \tt \tt \tt[/tex]
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[tex] \tt \frac{4}{10 - \sqrt{6} } = . \: . \: . \tt \tt \tt \tt \tt \tt \tt[/tex]
[tex] \tt \dfrac{4}{10 - \sqrt{6} }[/tex]
[tex] \tt = \dfrac{4}{10 - \sqrt{6} } \times \dfrac{10 + \sqrt{6} }{10 + \sqrt{6} } [/tex]
[tex] \tt = \dfrac{4(10 + \sqrt{6} )}{100 - \sqrt{36} }[/tex]
[tex] \tt = \dfrac{4(10 + \sqrt{6} )}{100 - 6 }[/tex]
[tex] \tt = \dfrac{4(10 + \sqrt{6} )}{94}[/tex]
[tex] \tt = \dfrac{2(10 + \sqrt{6} )}{47}[/tex]
[tex] \tt = \dfrac{20 + 2\sqrt{6} }{47}[/tex]
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