Evaluate square root of 60

Problem

√(,60)

Solution

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

2. Factor the number 60 into a product of a perfect square and another integer.

√(,60)=√(,4⋅15)

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

√(,4⋅15)=√(,4)⋅√(,15)

4. Simplify the square root of the perfect square.

√(,4)=2

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

2⋅√(,15)=2√(,15)

Final Answer

√(,60)=2√(,15)

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