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\frac{2 \sqrt{3} - \sqrt{5} }{2 \sqrt{2} + 3 \sqrt{3} } \\ taking \: conjugate \: of \: denominator \: then \: we \: have \\ ( \frac{2 \sqrt{3} - \sqrt{5} }{2 \sqrt{2} + 3 \sqrt{3} } ) \times ( \frac{2 \sqrt{2} - 3 \sqrt{3} }{2 \sqrt{2} - 3 { \sqrt{3} } } ) \\ \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{18 - (9.79 - 6.33 + 11.62) }{19}


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