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# Can we say that if a perfect square is of n- digits, then its square root will have n/2 digits if n is even or (n+1)/2  if  is odd?

Q. Can we say that if a perfect square is of $n$-digits, then its square root will have $\frac{n}{2}$ digits if $n$ is even or $\frac{\left ( n+1 \right )}{2}$  if $n$ is odd?

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Solution for the above-written question is as follows,

Yes.

The smallest 3-digit perfect square number = 100

which is the square of 10

the greatest 3-digit perfect square number is 961

which is the square of 31.

The smallest 4-digit square number is 1024

which is the square of 32

The greatest 4-digit number is 9801

which is the square of 99.

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