Calculate the square root of 27

Problem

√(,27)

Solution

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

2. Factor the number 27 into a product of a perfect square and another integer.

√(,27)=√(,9⋅3)

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

√(,9⋅3)=√(,9)⋅√(,3)

4. Simplify the square root of the perfect square.

√(,9)=3

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

3⋅√(,3)=3√(,3)

Final Answer

√(,27)=3√(,3)

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