\(=\sqrt{\left(\sqrt{6}+\sqrt{2}\right)^2}+\dfrac{4\left(3-\sqrt{2}\right)}{7}-\dfrac{\sqrt{3}\left(\sqrt{6}-\sqrt{2}\right)}{\sqrt{3}}\\ =\sqrt{6}+\sqrt{2}+\dfrac{12-4\sqrt{2}}{7}-\sqrt{6}+\sqrt{2}\\ =2\sqrt{2}+\dfrac{12-4\sqrt{2}}{7}=\dfrac{14\sqrt{2}+12-4\sqrt{2}}{7}=\dfrac{10\sqrt{2}+12}{7}\)