Simplify square root of 49x^2+49

Problem

√(,49*x2+49)

Solution

1. Identify the common factor inside the square root.

2. Factor out the constant 49 from both terms within the radicand.

√(,49*(x2+1))

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

√(,49)⋅√(,x2+1)

4. Evaluate the square root of the constant 49

7√(,x2+1)

Final Answer

√(,49*x2+49)=7√(,x2+1)

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