Question

Rezultatul calculului $\frac{ \sqrt{6}- 6 }{5} - \frac{1}{ \sqrt{6} +1} - 0,3$ este.......

Answer 1

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