In an auditorum, the number of rows is equal to the number of chairs in each row. If the capacity of the auditorium is 2025, find the number of chairs in each row.

Answer

To solve the problem, we need to find the number of chairs in each row of the auditorium given that the number of rows is equal to the number of chairs in each row and the total capacity of the auditorium is 2025.

### Step-by-Step Solution:

1. **Understanding the Problem**:
- Let \( n \) be the number of chairs in each row.
- Since the number of rows is equal to the number of chairs in each row, the number of rows is also \( n \).

2. **Setting Up the Equation**:
- The total capacity of the auditorium can be expressed as the product of the number of rows and the number of chairs in each row.
- Therefore, the equation can be written as:
\[ n \times n = 2025 \]
- This simplifies to:
\[ n^2 = 2025 \]

3. **Finding the Value of \( n \)**:
- To find \( n \), we need to take the square root of both sides of the equation:
\[ n = \sqrt{2025} \]

4. **Calculating the Square Root**:
- Now we calculate \( \sqrt{2025} \).
- We can factor 2025 to find its square root:
\[ 2025 = 45 \times 45 \]
- Therefore:
\[ n = 45 \]

5. **Conclusion**:
- The number of chairs in each row is \( 45 \).

### Final Answer:
The number of chairs in each row is **45**.