Question

\(\dfrac{1}{2-\sqrt{3}}+\dfrac{\sqrt{2}}{\sqrt{6}}-\dfrac{2}{\sqrt{3}+3}\)  

Answer 1

\(\dfrac{1}{2-\sqrt{3}}+\dfrac{\sqrt{2}}{\sqrt{6}}+\dfrac{2}{3+\sqrt{3}}\)

\(=2+\sqrt{3}+\dfrac{1}{3}\sqrt{3}+1-\dfrac{1}{3}\sqrt{3}\)

\(=\sqrt{3}+3\)