Evaluate square root of 28

Problem

√(,28)

Solution

1. Identify the radicand, which is 28

2. Find the largest perfect square factor of 28

3. Factor the radicand into a product of the perfect square and its remaining factor.

√(,28)=√(,4⋅7)

4. Apply the product property of radicals, √(,a⋅b)=√(,a)⋅√(,b)

√(,4⋅7)=√(,4)⋅√(,7)

5. Simplify the square root of the perfect square.

√(,4)⋅√(,7)=2√(,7)

Final Answer

√(,28)=2√(,7)

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