Simplify square root of 300

Problem

√(,300)

Solution

1. Identify the largest perfect square factor of the radicand 300

2. Factor the number 300 into the product of 100 and 3

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

4. Simplify the square root of the perfect square 100 to get 10

Final Answer

√(,300)=10√(,3)

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