The value of $$\frac{{1 + \sqrt {0.01} }}{{1 - \sqrt {0.1} }}$$   is close to = ?

Solution(By Examveda Team)

$$\eqalign{ & = \frac{{1 + \sqrt {0.01} }}{{1 - \sqrt {0.1} }} \cr & = \frac{{1 + 0.1}}{{1 - 0.316}} \cr & = \frac{{1.1}}{{0.684}} \cr & = \frac{{1100}}{{684}} \cr & = 1.6 \cr & \,\,\,\,\,\,\,3|\overline 0 \,.\,\overline {10} \,\,\overline {00} \,\,\overline {00} \,(0.316 \cr & \,\,\,\,\,\,\,\,\,\,|\,\,\,\,\,\,\,\,9 \cr & \,\,\,\,\,\,\,\,\,\,| - - - - - - - - \cr & \,\,\,61|\,\,\,\,\,\,\,\,\,\,100 \cr & \,\,\,\,\,\,\,\,\,\,|\,\,\,\,\,\,\,\,\,\,\,\,61 \cr & \,\,\,\,\,\,\,\,\,\,| - - - - - - - - \cr & 626\,|\,\,\,\,\,\,\,\,\,\,\,\,\,\,3900 \cr & \,\,\,\,\,\,\,\,\,\,|\,\,\,\,\,\,\,\,\,\,\,\,\,3756 \cr & \,\,\,\,\,\,\,\,\,\,| - - - - - - - \cr} $$