Simplify square root of 36x^2+36y^2

Problem

√(,36*x2+36*y2)

Solution

1. Identify the common factor inside the square root. Both terms 36*x2 and 36*y2 share the coefficient 36

2. Factor out the constant 36 from the expression inside the radical.

√(,36*(x2+y2))

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

√(,36)⋅√(,x2+y2)

4. Simplify the square root of the constant. Since 6=36 the square root of 36 is 6

6√(,x2+y2)

Final Answer

√(,36*x2+36*y2)=6√(,x2+y2)

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