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Simplify 7 root 3/root 10+root 3 -2 root 5/root 6+root 5 -3 root 2/root 15+3 root 2. PLzz answer...

$\frac{7 \sqrt{3}}{\sqrt{10} + \sqrt{3}} - \frac{2 \sqrt{5}}{\sqrt{6} + \sqrt{5}} - \frac{3 \sqrt{2}}{\sqrt{15} + 3 \sqrt{2}} = \frac{7 \sqrt{3} (\sqrt{10} - \sqrt{3})}{10 - 3} - \frac{2 \sqrt{5} (\sqrt{6} - \sqrt{5})}{6 - 5} + \frac{3 \sqrt{2} (\sqrt{15} - 3 \sqrt{2})}{15 - 18} = \sqrt{3} (\sqrt{10} - \sqrt{3}) - 2 \sqrt{5} (\sqrt{6} - \sqrt{5}) - \sqrt{2} (\sqrt{15} - 3 \sqrt{2}) = \sqrt{30} - 3 - 2 \sqrt{30} + 10 - \sqrt{30} + 6 = - 2 \sqrt{30} + 13$

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