Simplify square root of 25x^2+25

Problem

√(,25*x2+25)

Solution

1. Factor out the greatest common factor from the terms inside the square root.

√(,25*(x2+1))

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

√(,25)⋅√(,x2+1)

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

5√(,x2+1)

Final Answer

√(,25*x2+25)=5√(,x2+1)

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