Evaluate square root of 288

Problem

√(,288)

Solution

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

2. Factor the number 288 into a product of its largest perfect square factor and another number.

288=144×2

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

√(,288)=√(,144×2)

√(,288)=√(,144)×√(,2)

4. Simplify the square root of the perfect square 144

√(,144)=12

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

√(,288)=12√(,2)

Final Answer

√(,288)=12√(,2)

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