The number of digits in the square root of a perfect square containing 2n digits is:
Show answer & explanation
Correct answer: A
Explanation
If a perfect square has 2n digits, its square root has n digits.
Examples:
144 (3 digits) → √144 = 12 (2 digits)
1024 (4 digits) → √1024 = 32 (2 digits)
998001 (6 digits) → √998001 = 999 (3 digits)
Therefore, the square root of a perfect square with 2n digits will have n digits.