Simplify square root of x^2

Problem

√(,x2)

Solution

1. Identify the expression as the principal square root of a squared variable.

2. Apply the definition of the square root of a square, which states that √(,a2)=|a| for any real number a

3. Determine that since x can be positive, negative, or zero, the result must be the absolute value to ensure a non-negative output.

Final Answer

√(,x2)=|x|

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