The expression given seems to represent a mathematical problem involving limits, irrational numbers, or possibly algebra involving roots.

To simplify or solve the expression for \( A = \frac{\sqrt{x} + 1}{x - 2\sqrt{1}} \) and \( \left( \frac{1}{x - \sqrt{2}} + \frac{1}{\sqrt{2} - 4} \right) \), you would follow these steps:

1. **Clarify the expression:** Ensure the components are correctly noted and extracted.

2. **Simplify the fractions:** This may involve finding a common denominator for the fractions.

3. **Evaluate limits (if required):** If \( x \) approaches particular values, investigate how the expression behaves.

4. **Consider the conditions:** Ensure \( x \) adheres to any restrictions (e.g., values that would cause division by zero).

If you provide more specific instructions or ask a particular question about this problem, I can assist you further!