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Question
The square root of 535.9225 is = ?
Options:
A .  23.15
B .  23.45
C .  24.15
D .  28.25
Answer: Option A
$$\eqalign{
& = \sqrt {{\text{535}}{\text{.9225}}} \cr
& = \sqrt {\frac{{{\text{5359225}}}}{{10000}}} \cr
& = \frac{{2315}}{{100}} \cr
& = 23.15 \cr
& \,\,\,\,\,\,\,\,\,2|\overline 5 \,\,\overline {35} \,\,\overline {92} \,\,\overline {25} \,\,(2315 \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,|4 \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,| - - - - - - - - \cr
& \,\,\,\,\,\,\,43|\,\,1\,35 \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,|\,\,\,1\,2\,9 \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,| - - - - - - - - \cr
& \,\,\,461\,|\,\,\,\,\,\,\,\,\,6\,92 \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,|\,\,\,\,\,\,\,\,\,\,4\,61 \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,| - - - - - - - \cr
& 4625\,|\,\,\,\,\,\,\,\,\,\,\,\,231\,25 \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,|\,\,\,\,\,\,\,\,\,\,\,\,\,231\,25 \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,| - - - - - - - \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,|\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{x}} \cr} $$

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