Rút gọn A. Tìm tất cả các giá trị nguyên x để A xác định

To find all integer values of \( x \) for which the expression \( A \) is defined, we need to analyze the conditions for which the components of \( A \) are defined, particularly focusing on square roots and denominators.

1. **Square roots**: For any \( \sqrt{x} \), we require \( x \geq 0 \) because the square root of a negative number is not defined in the real number system.

2. **Denominators**: We need to ensure the denominators do not lead to division by zero. Look closely at each term that might become zero under certain conditions.

- For expressions like \( \sqrt{x} + 1 \) (and others), ensure that these values do not make the denominator zero.

3. **Check specific cases**:
- Set each term in the denominator equal to zero and solve for \( x \).
- Ensure \( x \geq 0 \) remains satisfied in your solutions.

4. **List integer solutions**:
- Once you’ve calculated the valid ranges and constraints from the above points, list the integer values that fit.

After going through this process step by step, you will be able to identify all the integer values of \( x \) for which \( A \) is defined.

Please check the calculations carefully to ensure that all restrictions are satisfied, and you're providing the correct integer solutions.