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Examveda

The square root of 64009 is:

A. 253

B. 347

C. 363

D. 803

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ & \,\,\,\,\,\,\,\,2|\overline 6 \overline {40} \overline {09} \,(\,\,253 \cr & \,\,\,\,\,\,\,\,\,\,\,|4 \cr & \,\,\,\,\,\,\,\,\,\,\,| - - - - - \cr & \,\,\,\,45\,|240 \cr & \,\,\,\,\,\,\,\,\,\,\,|225 \cr & \,\,\,\,\,\,\,\,\,\,\,| - - - - - \cr & 503\,\,|\,\,\,\,\,\,1509 \cr & \,\,\,\,\,\,\,\,\,\,\,|\,\,\,\,\,\,1509 \cr & \,\,\,\,\,\,\,\,\,\,\,| - - - - - \cr & \,\,\,\,\,\,\,\,\,\,\,|\,\,\,\,\,\,\,\,\,\,\,x \cr & \,\,\,\,\,\,\,\,\,\,\,| - - - - - \cr & \therefore \sqrt {64009} = 253 \cr} $$

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