a: \(=\left(\dfrac{3}{\sqrt{2}}-\dfrac{1}{\sqrt{2}}\right)\cdot\sqrt{2}=2\)
b: \(=\left(2\sqrt{3}+3\sqrt{3}-\sqrt{3}\right)\cdot\sqrt{3}=5\sqrt{3}\cdot\sqrt{3}=15\)
c: \(=\left(\dfrac{2}{3}\sqrt{6}-2\sqrt{6}+\dfrac{5}{3}\sqrt{6}\right)\cdot\sqrt{6}\)
\(=\dfrac{1}{3}\sqrt{6}\cdot\sqrt{6}=\dfrac{1}{3}\cdot6=2\)
d: \(=\dfrac{\left(2\sqrt{5}+3\sqrt{5}-\sqrt{5}\right)}{\sqrt{5}}=2+3-1=4\)
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