https://file.aiquickdraw.com/mathbot/file/1725425109941abdstdu0.jpg

The image contains a mathematical expression that seems to involve simplifying or evaluating an algebraic expression. From what I can extract, the key expression appears to be:

\[
\frac{2(2 + 7) - 6(3)}{\sqrt{2} + 5}
\]

This expression was then simplified or evaluated, and the work seems to be double-checked, leading to the final answer \( \boxed{2} \).

Would you like a detailed step-by-step explanation of how to simplify or evaluate this expression? If so, I can provide that, or if there's something specific you'd like to focus on, just let me know.

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**Further Questions for Exploration:**

1. How do you simplify an expression with both radicals and integers in the denominator?
2. What are the properties of square roots that help in simplifying expressions like these?
3. How can you check your work when simplifying complex expressions?
4. What role do parentheses play in evaluating algebraic expressions correctly?
5. How do the order of operations affect the outcome of an algebraic expression?

**Tip:** Always ensure to follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) when simplifying any algebraic expression.

Simplify the expression: \(\frac{2(2 + 7) - 6(3)}{\sqrt{2} + 5}\).

Learn how to simplify the expression \(\frac{2(2 + 7) - 6(3)}{\sqrt{2} + 5}\) with a step-by-step solution. This problem involves algebraic simplification, handling radicals, and applying the order of operations. Suitable for students in Grades 8-10.

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