\(\dfrac{2}{\sqrt{3}-11}-\sqrt{27}+\dfrac{3}{\sqrt{3}}\)
\(=\dfrac{2\left(\sqrt{3}+11\right)}{3-121}-3\sqrt{3}+\sqrt{3}\)
\(=\dfrac{-1}{59}\left(11+\sqrt{3}\right)-2\sqrt{3}\)
\(=-\dfrac{11}{59}-\dfrac{\sqrt{3}}{59}-2\sqrt{3}=-\dfrac{11}{59}-\dfrac{119}{59}\sqrt{3}\)