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Without calculating square roots find the number of digits in the square root of the following number.(iii) 36864

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

(iii) 36864

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The solution for the above-written question is as follows

The given number has a total of 5 digits.

Thus the number of digits in the square root of this number 

                       = \left ( \frac{n + 1}{2} \right ) = \left ( \frac{5+1}{2} \right ) = 3

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