Find the number of digit in the square root of the given number ( without any calculation): $4601025$.


Given: A number $4601025$.

To do: To find the number of digit in the square root of the given number $( without\ any\ calculation)$.

Solution:


Given number$=4601025$

Number of digits in the given number, $n=7$

$\therefore$ Number of digits in the square root of the given number$=\frac{n+1}{2}$                        [$\because n$ is odd]

$=\frac{7+1}{2}$

$=\frac{8}{2}$

$=4$

Thus, the number of digits in the square root of the number $4601025$ is $4$.

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Updated on: 10-Oct-2022

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