f(x) = \(\sqrt{x-2}\) + \(\sqrt{x+47-14\sqrt{x-2}}\) ; x \(\geq\) 2
∴ f(50) = \(\sqrt{48}\) + \(\sqrt{50+47-14\times4\sqrt3}\)
= 4\(\sqrt3+\sqrt{97-56\sqrt3}\)
f(66) = \(\sqrt{64}+\sqrt{66+47-14\sqrt{64}}\)
= 8 + \(\sqrt{113-112}\)
= 8 + 1
= 9
∴ f(50) + f(66) = 4\(\sqrt3+\sqrt{97-56\sqrt3}+9\)