# Chapter 10 - Exponents and Radicals - 10.1 Radical Expressions and Functions - 10.1 Exercise Set - Page 634: 42

$|x-2|$

#### Work Step by Step

Using $\sqrt{x^2}=|x|$, the given expression, $\sqrt{x^2-4x+4} ,$ simplifies to \begin{array}{l} \sqrt{(x-2)^2} \\\\= |x-2| .\end{array}

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