Simplify square root of 4x^2

Problem

√(,4*x2)

Solution

1. Identify the components of the radicand, which are the constant 4 and the variable term x2

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

√(,4*x2)=√(,4)⋅√(,x2)

3. Evaluate the square root of the constant 4

√(,4)=2

4. Simplify the square root of the squared variable x2 using the absolute value property √(,x2)=|x|

√(,x2)=|x|

5. Combine the results into a single expression.

2⋅|x|=2*|x|

Final Answer

√(,4*x2)=2*|x|

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