[tex]\frac{\sqrt6-6}{5}-\frac{1}{\sqrt6+1}-0.3=\frac{\sqrt6-6}{5}-\frac{\sqrt6-1}{(\sqrt6+1)\cdot(\sqrt6-1)}-\frac{3}{10}=\frac{\sqrt6-6}{5}-\frac{\sqrt6-1}{(\sqrt6)^2-1^2}-\frac{3}{10}=\frac{\sqrt6-6}{5}-\frac{\sqrt6-1}{6-1}-\frac{3}{10}=\frac{\sqrt6-6}{5}-\frac{\sqrt6-1}{5}-\frac{3}{10}=\frac{\sqrt6-6-(\sqrt6-1)}{5}-\frac{3}{10}=-1-\frac{3}{10}=-\frac{13}{10}[/tex]
