The problem asks us to find the square root of 2025. That is, we need to find a number $x$ such that $x^2 = 2025$.

1. Problem Description

The problem asks us to find the square root of

2

0

2

5. That is, we need to find a number $x$ such that $x^2 = 2025$.

2. Solution Steps

We can find the square root of 2025 by prime factorization.

$2025 = 5 \times 405 = 5 \times 5 \times 81 = 5 \times 5 \times 9 \times 9 = 5^2 \times 9^2$.

Thus, $\sqrt{2025} = \sqrt{5^2 \times 9^2} = \sqrt{5^2} \times \sqrt{9^2} = 5 \times 9 = 45$.

Alternatively, we can notice that $40^2 = 1600$ and $50^2 = 2500$, so the answer should be between 40 and

5

0. Since the last digit of 2025 is 5, the last digit of the square root should be

5. Therefore, we can try $45^2 = 45 \times 45 = (40+5)(40+5) = 40^2 + 2(40 \times 5) + 5^2 = 1600 + 400 + 25 = 2025$.

Thus $\sqrt{2025} = 45$.

3. Final Answer

45