Simplify square root of 81x^2+81

Problem

√(,81*x2+81)

Solution

1. Identify the common factor inside the radicand.

√(,81*(x2+1))

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

√(,81)⋅√(,x2+1)

3. Evaluate the square root of the constant term.

9⋅√(,x2+1)

Final Answer

√(,81*x2+81)=9√(,x2+1)

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