$$\sqrt {1.5625} = ?$$

$$\eqalign{ & \,\,\,\,\,\,\,1|\overline 1 \,.\,\overline {56} \,\,\overline {25} \,(1.25 \cr & \,\,\,\,\,\,\,\,\,\,|1 \cr & \,\,\,\,\,\,\,\,\,\,| - - - - - - - - \cr & \,\,\,22|\,\,\,\,\,\,56 \cr & \,\,\,\,\,\,\,\,\,\,|\,\,\,\,\,\,44 \cr & \,\,\,\,\,\,\,\,\,\,| - - - - - - - - \cr & 245\,|\,\,\,\,\,\,\,12\,25 \cr & \,\,\,\,\,\,\,\,\,\,|\,\,\,\,\,\,\,12\,25 \cr & \,\,\,\,\,\,\,\,\,\,| - - - - - - - \cr & \,\,\,\,\,\,\,\,\,\,|\,\,\,\,\,\,\,\,\,\,\,\,\,\text{x} \cr & \,\,\,\,\,\,\,\,\,\,| - - - - - - - \cr & \therefore \sqrt {1.5625} = 1.25 \cr} $$