Simplify square root of 28

Problem

√(,28)

Solution

1. Identify the radicand and look for the largest perfect square factor of 28

2. Factor the number 28 into a product of a perfect square and another integer.

28=4⋅7

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

√(,28)=√(,4⋅7)

√(,28)=√(,4)⋅√(,7)

4. Simplify the square root of the perfect square.

√(,4)=2

5. Combine the results to reach the simplest radical form.

2⋅√(,7)=2√(,7)

Final Answer

√(,28)=2√(,7)

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