Calculate the square root of 28

Problem

√(,28)

Solution

1. Identify the number under the radical and look for its perfect square factors.

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

√(,28)=√(,4⋅7)

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

√(,4⋅7)=√(,4)⋅√(,7)

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

√(,4)=2

5. Combine the results to write the expression in simplest radical form.

2⋅√(,7)=2√(,7)

Final Answer

√(,28)=2√(,7)

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