Evaluate
4\sqrt{2}\approx 5.656854249
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\frac{1}{3}\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}.
\frac{12}{3}\sqrt{2}
Multiply \frac{1}{3} and 12 to get \frac{12}{3}.
4\sqrt{2}
Divide 12 by 3 to get 4.
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