Simplify square root of 16x^2

Problem

√(,16*x2)

Solution

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

√(,16*x2)=√(,16)⋅√(,x2)

2. Evaluate the square root of the constant coefficient 16

√(,16)=4

3. Simplify the square root of the variable squared. Since √(,x2) represents the principal square root, it simplifies to the absolute value of x

√(,x2)=|x|

4. Combine the results to find the final simplified expression.

4⋅|x|=4*|x|

Final Answer

√(,16*x2)=4*|x|

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