To find the square root of 529, we can use various methods such as prime factorization, long division, or estimation.

Using Prime Factorization:
1. Prime factorize the number 529: 529 = 23 * 23
2. Since the number is a perfect square, both factors are the same.
3. Therefore, the square root of 529 is 23.
4. So, the correct answer is option B.

Using Long Division:
1. Start with an initial guess for the square root, such as 20.
2. Divide 529 by the guess: 529 ÷ 20 = 26.45.
3. Average the result with the guess: (20 + 26.45) / 2 = 23.23.
4. Repeat the division and averaging process until the desired level of accuracy is achieved.
5. The final result will be very close to 23, confirming that the square root of 529 is indeed 23.

Using Estimation:
1. Observe that the perfect squares near 529 are 484 (22 * 22) and 576 (24 * 24).
2. Since 529 is closer to 484, we can estimate that the square root of 529 is closer to 22.
3. To refine the estimate, we can divide 529 by 22: 529 ÷ 22 = 24.05.
4. The result is slightly larger than 22, so we can further refine the estimate to be around 23.
5. The final result will be very close to 23, confirming that the square root of 529 is indeed 23.

In summary, the square root of 529 is 23, which is option B.