Evaluate square root of 96

Problem

√(,96)

Solution

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

2. Factor the number 96 into a product of its prime factors or a product involving the largest possible perfect square.

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

√(,16)=4

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

√(,96)=4√(,6)

Final Answer

√(,96)=4√(,6)

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