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# Without calculating square roots, find the number of digits in the square root of the following number.(ii) 100000000

Q. Without calculating square roots, find the number of digits in the square root of the following number.

(ii) 100000000

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The solution for the above-written question is as follows

Since the given number has a total of 9 digits.

Therefore  the number of digits in the square root will be :

$= \left ( \frac{n+1}{2} \right ) = \left ( \frac{9+1}{2} \right ) = 5$

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