Calculate the square root of 60

Problem

√(,60)

Solution

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

2. Factor the number 60 into a product of its prime factors or a product involving the largest perfect square.

60=4×15

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

√(,60)=√(,4×15)

√(,60)=√(,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.

√(,60)=2√(,15)

Final Answer

√(,60)=2√(,15)

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