Simplify square root of 72

Problem

√(,72)

Solution

1. Identify the largest perfect square factor of the radicand 72

2. Factor the number 72 into the product of 36 and 2

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

4. Simplify the square root of the perfect square √(,36) to 6

Final Answer

√(,72)=6√(,2)

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