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The image you uploaded contains two questions written in Arabic. Here is the translation and breakdown of each problem:

### Question 1
It appears to ask:
1. Simplify the expression: 
   \[
   \frac{n}{\sqrt{n + 1}}
   \]
   for some value of \( n \) (it looks like this is part of a simplification or proof).

### Question 2
The question specifies:
1. Find the range for \( x \) such that \( 2 < x < 3 \), then find the maximum and minimum of the following expression:
   \[
   \frac{\sqrt{x} + 2x}{7 - x} - \frac{1}{x - 4}
   \]

Let's go through the steps to solve these questions.

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### Related Questions:
1. What are the general methods for simplifying square root expressions?
2. How do you approach finding the range of a function within a given interval?
3. What techniques can be used to determine the maximum and minimum values of an expression?
4. How can the concepts of domain and range impact function behavior?
5. How can you analyze a function's behavior as \( x \) approaches specific critical points?

**Tip:** For expressions with square roots, try to rationalize the denominator or numerator to simplify.

1) Simplify the expression: \( \frac{n}{\sqrt{n + 1}} \). 2) Given the range \( 2 < x < 3 \), find the maximum and minimum values of the expression \( \frac{\sqrt{x} + 2x}{7 - x} - \frac{1}{x - 4} \).

Explore how to simplify expressions and find the maximum and minimum of a function over a specified interval. This problem covers key concepts in algebra and calculus, including rationalization and finding extremal values. Suitable for high school students in Grades 10-12.

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