Evaluate square root of 24

Problem

√(,24)

Solution

1. Identify the radicand and look for perfect square factors.

2. Factor the number 24 into a product where one factor is the largest possible perfect square.

24=4×6

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

√(,24)=√(,4×6)

√(,24)=√(,4)×√(,6)

4. Simplify the square root of the perfect square.

√(,4)=2

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

√(,24)=2√(,6)

Final Answer

√(,24)=2√(,6)

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