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a: \(=\dfrac{\left(4\sqrt{3}-5\sqrt{3}+\dfrac{1}{2}\cdot4\sqrt{3}\right)}{\sqrt{3}}\)
=4-5+1/2*4
=-1+2
=1
b: \(=\left|2-\sqrt{5}\right|-\left|\sqrt{5}+1\right|\)
\(=\sqrt{5}-2-\sqrt{5}-1=-3\)
c: \(=\dfrac{3\left(\sqrt{7}+2\right)}{3}-\dfrac{4\left(3-\sqrt{7}\right)}{2}\)
\(=\sqrt{7}+2-2\left(3-\sqrt{7}\right)\)
\(=\sqrt{7}+2-6+2\sqrt{7}=3\sqrt{7}-4\)
d: \(=3\sqrt{2a}-3a\sqrt{2a}+2\sqrt{2a}-\dfrac{1}{4}\cdot8\sqrt{2a}\)
\(=3\sqrt{2a}-3a\cdot\sqrt{2a}+2\sqrt{2a}-2\sqrt{2a}\)
\(=\sqrt{2a}\left(3-3a\right)\)
e: \(=\dfrac{\sqrt{3}\left(\sqrt{3}+1\right)}{\sqrt{3}}-\dfrac{2\left(\sqrt{3}+1\right)}{2}\)
\(=\sqrt{3}-\sqrt{3}-1=-1\)
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