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2\times 12\sqrt{2}
Factor 288=12^{2}\times 2. Rewrite the square root of the product \sqrt{12^{2}\times 2} as the product of square roots \sqrt{12^{2}}\sqrt{2}. Take the square root of 12^{2}.
24\sqrt{2}
Multiply 2 and 12 to get 24.