Evaluate square root of 360

Problem

√(,360)

Solution

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

2. Factor the number 360 into its prime factors or a product of a perfect square and another number.

360=36×10

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

√(,360)=√(,36×10)

√(,360)=√(,36)×√(,10)

4. Simplify the square root of the perfect square 36

√(,36)=6

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

√(,360)=6√(,10)

Final Answer

√(,360)=6√(,10)

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