Evaluate
4\sqrt{3}\approx 6.92820323
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\frac{1}{2}\times 8\sqrt{3}
Factor 192=8^{2}\times 3. Rewrite the square root of the product \sqrt{8^{2}\times 3} as the product of square roots \sqrt{8^{2}}\sqrt{3}. Take the square root of 8^{2}.
\frac{8}{2}\sqrt{3}
Multiply \frac{1}{2} and 8 to get \frac{8}{2}.
4\sqrt{3}
Divide 8 by 2 to get 4.
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