Answer: Option C
$$\eqalign{
& \,\,\,\,\,4|0\,.\,\overline {20} \,\,\overline {00} \,\,\overline {00} \,\,(.447 \cr
& \,\,\,\,\,\,\,\,\,|\,\,\,\,\,\,\,16 \cr
& \,\,\,\,\,\,\,\,\,| - - - - - - - - - - \cr
& \,\,\,84|\,\,\,\,\,\,\,\,\,\,4\,00 \cr
& \,\,\,\,\,\,\,\,\,\,|\,\,\,\,\,\,\,\,\,\,3\,36 \cr
& \,\,\,\,\,\,\,\,\,\,| - - - - - - - - - - \cr
& \,887|\,\,\,\,\,\,\,\,\,\,\,\,\,\,64\,00 \cr
& \,\,\,\,\,\,\,\,\,\,|\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,62\,09 \cr
& \,\,\,\,\,\,\,\,\,\,| - - - - - - - - - - \cr
& \therefore \sqrt {0.2} = 0.447 \cr} $$