Question

Решите данный пример
$\frac{\sqrt{14}+\sqrt{21}-\sqrt{63} }{3-\sqrt{3} -\sqrt{2} }$

Answer 1

$\frac{\sqrt{14} +\sqrt{21} -\sqrt{63} }{3-\sqrt{3}- \sqrt{2} } =-\frac{\sqrt{63}-\sqrt{14}-\sqrt{21} }{3-\sqrt{3}- \sqrt{2} } =-\frac{\sqrt{7\cdot 9}-\sqrt{7\cdot 2}-\sqrt{7\cdot 3} }{3-\sqrt{3}- \sqrt{2} } =-\frac{\sqrt{7}\cdot (3-\sqrt{2}-\sqrt{3} )}{3-\sqrt{3}- \sqrt{2} } =-\sqrt{7}$