b: \(=-3+3\sqrt{6}+4+2\sqrt{6}-12-4\sqrt{6}-\sqrt{6}=-11\)
c: \(=\left(\sqrt{3}+1-6-3\sqrt{3}+\dfrac{15}{2}+\dfrac{5}{2}\sqrt{3}\right)\left(5+\sqrt{3}\right)\)
\(=\left(\dfrac{1}{2}\sqrt{3}+\dfrac{5}{2}\right)\left(5+\sqrt{3}\right)\)
\(=\dfrac{1}{2}\left(28+10\sqrt{3}\right)=14+5\sqrt{3}\)
e: \(=-1+\sqrt{2}-\sqrt{2}+\sqrt{3}-...-\sqrt{99}+\sqrt{100}\)
=10-1
=9