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Part 1
Simplify the expression.
StartRoot left parenthesis x minus 10 right parenthesis squared EndRoot
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Part 1
StartRoot left parenthesis x minus 10 right parenthesis squared EndRootequals
  
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​(Simplify your​ answer.)


To simplify the expression \(\sqrt{(x - 10)^2}\), we can use the property that:

\[
\sqrt{a^2} = |a|
\]

This means that:

\[
\sqrt{(x - 10)^2} = |x - 10|
\]

### Final Answer:
\[
\sqrt{(x - 10)^2} = |x - 10|
\]

If you need further details or have questions, let me know!

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**Related Questions:**
1. How do you simplify \(\sqrt{(x + 5)^2}\)?
2. What is the simplified form of \(\sqrt{(3x - 7)^2}\)?
3. How would you expand \((x - 10)^2\) before simplifying?
4. How does absolute value affect the result of square roots?
5. What happens if \(x = 10\) in \(\sqrt{(x - 10)^2}\)?

**Tip:** When simplifying square roots of squared expressions, remember that the result will involve absolute values to account for all potential values of the variable.

Simplify the expression. StartRoot left parenthesis x minus 10 right parenthesis squared EndRoot

Discover how to simplify the expression \(\sqrt{(x - 10)^2}\) by applying properties of square roots and absolute values. This tutorial covers key algebraic concepts and provides a clear, step-by-step solution. Ideal for students in Grades 7-9.

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