Question
The number of digits in the square root of 625685746009 is = ?
Answer: Option C
The number of digits of the square root of a perfect square number of n digits is
$$\eqalign{
& {\text{(i)}}\frac{n}{2}{\text{, if n is even}} \cr
& {\text{(ii)}}\frac{{n + 1}}{2}{\text{, if n is odd}} \cr
& {\text{Here, }}n = 12 \cr
& {\text{So, required number of digits}} \cr
& = \frac{n}{2} \cr
& = \frac{{12}}{2} \cr
& = 6{\text{ }} \cr} $$
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The number of digits of the square root of a perfect square number of n digits is
$$\eqalign{
& {\text{(i)}}\frac{n}{2}{\text{, if n is even}} \cr
& {\text{(ii)}}\frac{{n + 1}}{2}{\text{, if n is odd}} \cr
& {\text{Here, }}n = 12 \cr
& {\text{So, required number of digits}} \cr
& = \frac{n}{2} \cr
& = \frac{{12}}{2} \cr
& = 6{\text{ }} \cr} $$
Was this answer helpful ?
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