Evaluate square root of 12

Problem

√(,12)

Solution

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

2. Factor the number 12 into a product of a perfect square and another integer.

√(,12)=√(,4⋅3)

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

√(,4⋅3)=√(,4)⋅√(,3)

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⋅√(,3)=2√(,3)

Final Answer

√(,12)=2√(,3)

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