Find the least number that must be added to 1500 so as to get a perfect square. Also find the square root of the perfect square

Answer

To solve the problem of finding the least number that must be added to 1500 to make it a perfect square, and then finding the square root of that perfect square, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the nearest perfect square**:
We need to find the nearest perfect square greater than 1500. To do this, we can estimate the square root of 1500.

\[ \sqrt{1500} \approx 38.73 \]

The next whole number after 38.73 is 39.

2. **Calculate the perfect square**:
Now we calculate the perfect square of 39.

\[ 39^2 = 1521 \]

3. **Find the difference**:
Next, we find the difference between 1521 and 1500 to determine the least number that must be added.

\[ 1521 - 1500 = 21 \]

4. **Conclusion**:
Therefore, the least number that must be added to 1500 to make it a perfect square is 21. The perfect square we found is 1521, and the square root of 1521 is 39.

### Final Answers:
- The least number to be added: **21**
- The square root of the perfect square: **39**