Simplify square root of 125x^2

Problem

√(,125*x2)

Solution

1. Factor the radicand into perfect squares and remaining factors.

√(,25⋅5⋅x2)

2. Apply the product property of radicals, which states √(,a⋅b)=√(,a)⋅√(,b)

√(,25)⋅√(,x2)⋅√(,5)

3. Evaluate the square roots of the perfect squares.

5⋅|x|⋅√(,5)

4. Combine the terms into the final simplified form.

5*|x|√(,5)

Final Answer

√(,125*x2)=5*|x|√(,5)

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