Simplify square root of 64x^2

Problem

√(,64*x2)

Solution

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

√(,64*x2)=√(,64)⋅√(,x2)

2. Evaluate the square root of the constant numerical coefficient.

√(,64)=8

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

√(,x2)=|x|

4. Combine the results to find the simplified expression.

8⋅|x|=8*|x|

Final Answer

√(,64*x2)=8*|x|

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