Simplify square root of 96

Problem

√(,96)

Solution

1. Identify the largest perfect square factor of the radicand 96

2. Factor the number 96 into a product of a perfect square and another integer.

96=16⋅6

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

√(,96)=√(,16⋅6)

√(,96)=√(,16)⋅√(,6)

4. Simplify the square root of the perfect square.

√(,16)=4

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

4⋅√(,6)=4√(,6)

Final Answer

√(,96)=4√(,6)

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