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Question

Find the number of digits in the square root of the following number (without any calculation).
27225

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Solution

If there are even number of digits in a square of a number then the square root has n2 digits, if there are odd number of digits in a square of a number then the square root has n+12 digits
In this case, there are 5 digits in 27225 hence, the square root has 3 digits

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