We are asked to find the square root of 2025. In other words, we need to find a number that, when multiplied by itself, equals 2025. The problem can be expressed as: $\sqrt{2025} = ?$

1. Problem Description

We are asked to find the square root of

2

0

2

5. In other words, we need to find a number that, when multiplied by itself, equals

2

0

2

5. The problem can be expressed as:

$\sqrt{2025} = ?$

2. Solution Steps

We need to find the square root of

2

0

2

5. We can use prime factorization or estimation to solve the problem. Let's use estimation.

Since $40^2 = 1600$ and $50^2 = 2500$, the square root of 2025 must be between 40 and

5

0. Since the last digit of 2025 is 5, the square root must end in

5. So, let's try

4

5. $45 \times 45 = (40 + 5) \times (40 + 5) = 40 \times 40 + 2 \times 40 \times 5 + 5 \times 5 = 1600 + 400 + 25 = 2025$.

Therefore, the square root of 2025 is

4

5.

3. Final Answer

45