A certain perfect square has exactly 4 digits (that is, it is an integer between 1,000 and 9,999)

A certain perfect square has exactly 4 digits (that is, it is an integer between 1,000 and 9,999). The positive square root of the perfect square must have how many digits?

1. 1
2. 2
3. 3
4. 4
5. Cannot be determined from the given information

Answer

The correct answer is B.

As the perfect square is between 1,000 and 9,999, the square roots of all these perfect squares are the integers from 32 up to 99. All these square roots have 2 digits.