2*sqrt(2)/(1-sqrt(2))-4*sqrt(2)/(1+sqrt(3)
\(\dfrac{2\sqrt2}{1-\sqrt2}-\dfrac{4\sqrt2}{1+\sqrt3}\\ =\dfrac{2\sqrt2(1+\sqrt3)-2\sqrt2(2-2\sqrt2)}{(1-\sqrt2)(1+\sqrt3)}\\ =\dfrac{2\sqrt2(\sqrt3 + 2\sqrt2 -1)}{(1-\sqrt2)(1+\sqrt3)}\)