a: \(=5\sqrt{5}-4\cdot3\sqrt{5}+3\cdot2\sqrt{5}-4\sqrt{5}\)
\(=5\sqrt{5}-12\sqrt{5}+6\sqrt{5}-4\sqrt{5}=-5\sqrt{5}\)
b: \(=2\cdot\dfrac{3\sqrt{3}}{2}-\dfrac{4\sqrt{3}}{3}-\dfrac{2}{5}\cdot\dfrac{5\sqrt{3}}{4}\)
\(=3\sqrt{3}-\dfrac{4}{3}\sqrt{3}-\dfrac{1}{2}\sqrt{3}\)
\(=\dfrac{7}{6}\sqrt{3}\)
c: \(=2\cdot\dfrac{3}{2\sqrt{2}}-\dfrac{7}{\sqrt{2}}+\dfrac{5}{3\sqrt{2}}\)
\(=\dfrac{3}{\sqrt{2}}-\dfrac{7}{\sqrt{2}}+\dfrac{5}{3}\cdot\dfrac{1}{\sqrt{2}}\)
\(=-\dfrac{7}{3\sqrt{2}}\)
d: \(=5\cdot2\sqrt{5}-3\cdot2\sqrt{3}+3\sqrt{5}-12\sqrt{3}+\sqrt{3}\)
\(=13\sqrt{5}-17\sqrt{3}\)
e: \(=2+\sqrt{3}+3\sqrt{3}-1=4\sqrt{3}+1\)
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