The expression you've provided is \( \sqrt{x - 2 - 1} \).

To simplify it, follow these steps:

1. First, combine the constants inside the square root:
   \[
   \sqrt{x - 2 - 1} = \sqrt{x - 3}
   \]

So, the simplified form of the expression is \( \sqrt{x - 3} \).

Would you like further details or explanations?

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Here are 8 related questions to deepen your understanding:

1. What is the domain of the function \( f(x) = \sqrt{x - 3} \)?
2. How do you find the domain of a square root function in general?
3. What happens if \( x \) is less than 3 in \( \sqrt{x - 3} \)?
4. Can you graph the function \( y = \sqrt{x - 3} \)?
5. How does shifting a square root function horizontally affect its graph?
6. What is the range of the function \( f(x) = \sqrt{x - 3} \)?
7. How do you solve the equation \( \sqrt{x - 3} = 4 \)?
8. What are some common mistakes to avoid when simplifying square root expressions?

**Tip:** Always ensure the expression under the square root is non-negative when dealing with real numbers.

Learn how to simplify the square root expression sqrt(x - 2 - 1) step-by-step. This problem covers the concept of square roots in algebra and provides a clear method to simplify such expressions. Suitable for students in Grades 9-12.

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