Simplify square root of 28x^3y^3

Problem

√(,28*x3*y3)

Solution

1. Factor the radicand into perfect squares and remaining factors.

√(,4⋅7⋅x2⋅x⋅y2⋅y)

2. Group the perfect square terms together.

√(,(4⋅x2⋅y2)⋅(7⋅x⋅y))

3. Apply the product property of radicals, √(,a*b)=√(,a)√(,b)

√(,4*x2*y2)⋅√(,7*x*y)

4. Simplify the square root of the perfect square terms.

2*x*y√(,7*x*y)

Final Answer

√(,28*x3*y3)=2*x*y√(,7*x*y)

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