Math Problem Statement

Simplify or evaluate the expression \( \frac{\sqrt{x-3}}{x-5} \) as shown in the image.

Solution

The image contains a mathematical problem in Bulgarian, focusing on simplifying or solving the expression x3x5\frac{\sqrt{x-3}}{x-5}.

Would you like me to:

  1. Simplify or transform this expression?
  2. Evaluate it for specific values of xx?
  3. Solve for conditions such as when it equals a specific value?
  4. Discuss its domain and restrictions?
  5. Provide a detailed explanation of the solution process?

Let me know if you’d like a breakdown or specific focus! Here's a tip: Always check the domain of the function to avoid undefined operations like division by zero or taking the square root of a negative number.

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Math Problem Analysis

Mathematical Concepts

Algebra
Square Roots
Rational Expressions

Formulas

Simplification of square roots
Properties of rational functions

Theorems

Domain of functions
Simplification rules

Suitable Grade Level

Grade 8-10