a: \(=\dfrac{3\sqrt{5}+3-3+\sqrt{5}}{\left(3-\sqrt{5}\right)\left(\sqrt{5}+1\right)}=\dfrac{4\sqrt{5}}{-2+2\sqrt{5}}=\dfrac{5+\sqrt{5}}{2}\)
b: \(=\dfrac{3\sqrt{2}+3-3+2\sqrt{2}}{\left(\sqrt{2}+1\right)\left(3-2\sqrt{2}\right)}=\dfrac{5\sqrt{2}}{\sqrt{2}-1}=10+5\sqrt{2}\)
c: \(=\dfrac{14\sqrt{7}+28-18+6\sqrt{7}}{\left(3-\sqrt{7}\right)\left(\sqrt{7}+2\right)}\)
\(=\dfrac{20\sqrt{7}+10}{-1+\sqrt{7}}=25+5\sqrt{7}\)
d: \(=\sqrt{3}-1+\sqrt{3}+1=2\sqrt{3}\)
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