Simplify square root of 24

Problem

√(,24)

Solution

1. Identify the radicand, which is 24

2. Find the largest perfect square factor of 24

3. Factor the radicand into a product of the perfect square and another number.

√(,24)=√(,4⋅6)

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

√(,4⋅6)=√(,4)⋅√(,6)

5. Simplify the square root of the perfect square.

√(,4)⋅√(,6)=2√(,6)

Final Answer

√(,24)=2√(,6)

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