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\[\frac{ 6 }{ \sqrt{7}-\sqrt{5} }\] do you multiply the bottom
you multiply both the top and bottom by \[\Large \sqrt{7} + \sqrt{5}\]
42 and 30 then
you can't multiply the 6 (outside the square root) by either the 7 or 5 (both in their own square roots) like that
so \[6\sqrt{35}\]
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no
multiply 6 by \[\Large \sqrt{7} + \sqrt{5}\] to get \[\Large 6(\sqrt{7} + \sqrt{5}) = 6\sqrt{7} + 6\sqrt{5}\] and that's all really you can do (for the numerator)
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