[tex]\frac{2\sqrt{3} -\sqrt{5}}{2\sqrt{2}+3\sqrt{3}} \\\\\frac{2\sqrt{3} -\sqrt{5}}{2\sqrt{2}+3\sqrt{3}} * \frac{2\sqrt{2}=3\sqrt{3}}{2\sqrt{2}-3\sqrt{3}}\\\\\frac{2\sqrt{3}(2\sqrt{2} -3\sqrt{3} ) -\sqrt{5}(2\sqrt{2} -3\sqrt{3}) }{(2\sqrt{2} )^2(3\sqrt{3} )^2} \\\\\frac{4\sqrt{6}-18-2\sqrt{10} +3\sqrt{15} }{8-27} \\\\\frac{4\sqrt{6} -2\sqrt{10}+3\sqrt{15} -18 }{-19} \\\\\frac{-4\sqrt{6} +2\sqrt{10}-3\sqrt{15} +18 }{19}[/tex]

PLEASE MARK ME AS BRAINLIEST