Simplify square root of 121x^2

Problem

√(,121*x2)

Solution

1. Identify the components of the expression inside the radical, which are the constant 121 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 121 which is 11 because 11=121

4. Evaluate the square root of the variable term x2 which is |x| because the square root of a squared value must be non-negative.

5. Combine the results to find the simplified expression.

Final Answer

√(,121*x2)=11*|x|

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