What is the smallest four-digit number that is a perfect square?a1 004 b1 016c1 024 d1 036

The smallest four-digit number that is a perfect square is 1,000.

Here's how you can find it:

1. A perfect square is a number that can be expressed as the product of an integer with itself. For example, 9 is a perfect square because it can be expressed as 3*3.

2. To find the smallest four-digit perfect square, you need to find the smallest integer that, when squared, results in a four-digit number.

3. The square of 31 is 961, which is a three-digit number.

4. The square of 32 is 1024, which is a four-digit number.

5. However, the square of 32 is not the smallest four-digit perfect square.

6. The square of 33 is 1089, which is also a four-digit number.

7. But, if you square 31.5, you get 992.25, which is not an integer.

8. Therefore, the smallest integer that, when squared, results in a four-digit number is 32.

9. However, the smallest four-digit perfect square is 1000, which is the square of 31.6227766.

10. So, the smallest four-digit perfect square is 1,000.

None of the options provided (a1 004, b1 016, c1 024, d1 036) are correct.