Question: Simplify if possible

(a) \(\sqrt{\frac{1}{2}}\cdot \left( \sqrt{8}+\sqrt{2} \right)\)

(b) \(\frac{\sqrt{18}-\sqrt{3}}{\sqrt{6}}\)

(c) \(\frac{\sqrt{5}+1}{\sqrt{5}-1}\)

(d) \(2\sqrt{3}+\sqrt{27}-\sqrt{\frac{1}{3}}\)

(e) \(\sqrt{3}\left( \sqrt{6}-2\sqrt{3} \right)\)

(f) \(3\sqrt{2}-2\sqrt{3}\)