a: \(=\dfrac{5\left(4+\sqrt{11}\right)}{5}+\dfrac{3-\sqrt{7}}{2}-\dfrac{6\left(\sqrt{7}+2\right)}{3}-\dfrac{\sqrt{7}-5}{2}\)
\(=4+\sqrt{11}+\dfrac{3}{2}-\dfrac{1}{2}\sqrt{7}-2\sqrt{7}-4-\dfrac{1}{2}\sqrt{7}+\dfrac{5}{2}\)
\(=4-3\sqrt{7}+\sqrt{11}\)
b: \(=\dfrac{4\left(\sqrt{5}+\sqrt{2}\right)}{3}+\dfrac{3\left(\sqrt{5}+2\right)}{1}+\dfrac{2\left(2+\sqrt{3}\right)}{1}+\dfrac{\sqrt{3}-1}{6}\)
\(=\dfrac{8\left(\sqrt{5}+\sqrt{2}\right)+18\left(\sqrt{5}+2\right)+12\left(2+\sqrt{3}\right)+\sqrt{3}-1}{6}\)
\(=\dfrac{8\sqrt{5}+8\sqrt{2}+18\sqrt{5}+36+24+12\sqrt{3}+\sqrt{3}-1}{6}\)
\(=\dfrac{26\sqrt{5}+8\sqrt{2}+59+13\sqrt{3}}{6}\)
