Question

Find the number of digits in the square root of $113,569$ ?

• A. 5
• B. 3
• C. 2
• D. 4

Answer 1

The correct option is B 3

If a perfect square is of $n$-digits then, its square root will have,
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{n}{2}$ digits, if n is even
& <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{n+1}{2}$, if n is odd.
Here $n=6$.
So, its square root has $\frac{6}{2}$ = $3$ digits.