Answer
${4\sqrt {3}+4\sqrt {2}+3\sqrt {6}+6}$
Work Step by Step
$\frac{2\sqrt {12}+3\sqrt 6}{\sqrt 9 -\sqrt 6}$
$\frac{2\sqrt {12}+3\sqrt 6}{\sqrt 9 -\sqrt 6}*\frac{\sqrt 9 +\sqrt 6}{\sqrt 9 +\sqrt 6}$
$\frac{2\sqrt {12}*\sqrt 9+2\sqrt {12}*\sqrt 6+3\sqrt 6*\sqrt 9+3\sqrt 6*\sqrt 6}{\sqrt9*\sqrt9+\sqrt9*\sqrt6-\sqrt6*\sqrt9-\sqrt6*\sqrt6}$
$\frac{2\sqrt {108}+2\sqrt {72}+3\sqrt {54}+3\sqrt {36}}{\sqrt{81}+\sqrt{54}-\sqrt{54}-\sqrt{36}}$
$\frac{2\sqrt {2^2*3^2*3}+2\sqrt {2*6^2}+3\sqrt {2*3*3^2}+3*6}{9-6}$
$\frac{2*2*3\sqrt {3}+2*6\sqrt {2}+3*3\sqrt {2*3}+3*6}{9-6}$
$\frac{2*2*3\sqrt {3}+2*2*3\sqrt {2}+3*3\sqrt {2*3}+3*6}{3}$
$\frac{4*3\sqrt {3}+4*3\sqrt {2}+3*3\sqrt {2*3}+3*6}{3}$
${4\sqrt {3}+4\sqrt {2}+3\sqrt {6}+6}$
