Math Problem Statement

Question content area top Part 1 Simplify the expression. StartRoot left parenthesis x minus 10 right parenthesis squared EndRoot Question content area bottom Part 1 StartRoot left parenthesis x minus 10 right parenthesis squared EndRootequals    enter your response here ​(Simplify your​ answer.)

Solution

To simplify the expression (x10)2\sqrt{(x - 10)^2}, we can use the property that:

a2=a\sqrt{a^2} = |a|

This means that:

(x10)2=x10\sqrt{(x - 10)^2} = |x - 10|

Final Answer:

(x10)2=x10\sqrt{(x - 10)^2} = |x - 10|

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


Related Questions:

  1. How do you simplify (x+5)2\sqrt{(x + 5)^2}?
  2. What is the simplified form of (3x7)2\sqrt{(3x - 7)^2}?
  3. How would you expand (x10)2(x - 10)^2 before simplifying?
  4. How does absolute value affect the result of square roots?
  5. What happens if x=10x = 10 in (x10)2\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.

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Math Problem Analysis

Mathematical Concepts

Algebra
Square Roots
Absolute Value

Formulas

\(\sqrt{a^2} = |a|\)

Theorems

Properties of Square Roots and Absolute Values

Suitable Grade Level

Grades 7-9