Question

How can I simplify this and show work?

Answer 1

$\frac{ \sqrt{3}}{ \sqrt{5} - \sqrt{6} } \\ = \frac{ \sqrt{3}( \sqrt{5} + \sqrt{6}) }{( \sqrt{5} - \sqrt{6})( \sqrt{5} + \sqrt{6})} \\ = \frac{ \sqrt{15}+3 \sqrt{2} }{5-6} \\ =- \sqrt{15}-3 \sqrt{2}$
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