Question

simplify the radical expression.
\sqrt{x^{2}}
write your answer in the form a, \sqrt{b}, or a\sqrt{b}, where a and b are constants or expressions in x. use at most one radical in your answer, and at most one absolute value symbol in your expression for a.

Explanation:

Step1: Recall square root property

The square root of a squared number equals the absolute value of that number, since $\sqrt{a^2} = |a|$ for all real numbers $a$.

Step2: Apply property to given expression

Substitute $a = x$ into the property: $\sqrt{x^2} = |x|$

Answer:

$|x|$