Simplify square root of 144x^2

Problem

√(,144*x2)

Solution

1. Apply the product property of radicals to separate the constant and the variable parts.

√(,144⋅x2)=√(,144)⋅√(,x2)

2. Evaluate the square root of the constant 144

√(,144)=12

3. Simplify the square root of the squared variable x2

√(,x2)=|x|

4. Combine the results to find the simplified expression.

12⋅|x|=12*|x|

Final Answer

√(,144*x2)=12*|x|

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