Evaluate square root of 120

Problem

√(,120)

Solution

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

2. Factor the number 120 into a product of a perfect square and another integer.

120=4×30

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

√(,120)=√(,4×30)

√(,120)=√(,4)×√(,30)

4. Simplify the square root of the perfect square.

√(,4)=2

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

√(,120)=2√(,30)

Final Answer

√(,120)=2√(,30)

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