Simplify square root of 25x^2

Problem

√(,25*x2)

Solution

1. Identify the components of the radicand, which are the constant 25 and the variable term x2

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

√(,25*x2)=√(,25)⋅√(,x2)

3. Evaluate the square root of the constant 25 which is 5

√(,25)=5

4. Simplify the square root of the squared variable x2 Since the square root of a square is the absolute value of the base, we use |x|

√(,x2)=|x|

5. Combine the results to find the simplified expression.

5⋅|x|=5*|x|

Final Answer

√(,25*x2)=5*|x|

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