a)
\frac{-1- \sqrt{2} }{3-2 \sqrt{2} }=\frac{(-1-\sqrt2)*(3+2\sqrt2)}{(3-2\sqrt2)*(3+2\sqrt2)}=\frac{-3-2\sqrt2-3\sqrt2-2*2}{3^2-(2\sqrt2)^2}=\frac{-7-5\sqrt2}{9-4*2}=\frac{-7-5\sqrt2}{1}=-7-5\sqrt2
b)
\frac{4}{3\sqrt3}-2\sqrt3=\frac{4*\sqrt3}{3\sqrt3*\sqrt3}-2\sqrt3=\frac{4\sqrt3}{3*3}-2\sqrt3=\frac{4\sqrt3}{9}-\frac{18\sqrt3}{9}=-\frac{14\sqrt3}{9}