Question

6/√24-2√135-√15,Simplify it.

Answer 1

$\frac{6}{ \sqrt{24} - 2 \sqrt{135} - \sqrt{15} } \\ = \frac{6( \sqrt{24} - 2 \sqrt{135} + \sqrt{15} }{( (\sqrt{24} - 2 \sqrt{135}) - \sqrt{15})(( \sqrt{24} - 2 \sqrt{135}) + \sqrt{15} } \\ = \frac{6( \sqrt{24} - 2 \sqrt{135} + \sqrt{15} }{( { \sqrt{24} - 2 \sqrt{135}) }^{2} + ({ \sqrt{15} })^{2} } \\ \frac{6( \sqrt{24} - 2 \sqrt{135} - \sqrt{15} \: }{564 - 4 \sqrt{3240} - 15 } \\ = \frac{6( \sqrt{24} - 2 \sqrt{135} + \sqrt{15})(549 + 4\sqrt{3240}) }{(549 - 4 \sqrt{3240})(549 + 4 \sqrt{3240} ) } \\ \frac{6( \sqrt{24} - 2 \sqrt{135} + \sqrt{15})(549 + 4\sqrt{3240}) \: }{249561} \\ other \: last \: calculation \: do \: it \: in \: a \: calculator \: or \: by \: yourself$