Question
What is the least number which should be subtracted 0.000326 in order to make it a perfect square = ?
Answer: Option A
$$\eqalign{
& 0.000326 = \frac{{326}}{{{{10}^6}}} \cr
& \,\,\,\,1|\overline 3 \,\,\overline {26} \,\,(18 \cr
& \,\,\,\,\,\,\,|\,\,1 \cr
& \,\,\,\,\,\,\,| - - - - - - \cr
& 28|\,\,\,2\,26 \cr
& \,\,\,\,\,\,\,|\,\,\,2\,24 \cr
& \,\,\,\,\,\,\,| - - - - - - \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,2 \cr} $$
∴ Required number to be subtracted
$$\eqalign{
& = \frac{2}{{{{10}^6}}} \cr
& = 0.000002 \cr} $$
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$$\eqalign{
& 0.000326 = \frac{{326}}{{{{10}^6}}} \cr
& \,\,\,\,1|\overline 3 \,\,\overline {26} \,\,(18 \cr
& \,\,\,\,\,\,\,|\,\,1 \cr
& \,\,\,\,\,\,\,| - - - - - - \cr
& 28|\,\,\,2\,26 \cr
& \,\,\,\,\,\,\,|\,\,\,2\,24 \cr
& \,\,\,\,\,\,\,| - - - - - - \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,2 \cr} $$
∴ Required number to be subtracted
$$\eqalign{
& = \frac{2}{{{{10}^6}}} \cr
& = 0.000002 \cr} $$
Was this answer helpful ?
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