Simplify square root of 36x^2

Problem

√(,36*x2)

Solution

1. Identify the components of the radicand, which are the constant 36 and the variable term x2

2. Apply the product property of square roots, which states that √(,a⋅b)=√(,a)⋅√(,b) for non-negative values.

3. Evaluate the square root of the constant: √(,36)=6

4. Evaluate the square root of the variable squared: √(,x2)=|x|

5. Combine the results into a single expression.

Final Answer

√(,36*x2)=6*|x|

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