Simplify square root of 9x^2+9

Problem

√(,9*x2+9)

Solution

1. Factor out the greatest common factor inside the radical, which is 9

√(,9*(x2+1))

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

√(,9)⋅√(,x2+1)

3. Evaluate the square root of the constant term 9

3√(,x2+1)

Final Answer

√(,9*x2+9)=3√(,x2+1)

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