Evaluate
6\sqrt{3}\approx 10.392304845
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\sqrt{3}\sqrt{12}\sqrt{3}
Factor 36=3\times 12. Rewrite the square root of the product \sqrt{3\times 12} as the product of square roots \sqrt{3}\sqrt{12}.
3\sqrt{12}
Multiply \sqrt{3} and \sqrt{3} to get 3.
3\times 2\sqrt{3}
Factor 12=2^{2}\times 3. Rewrite the square root of the product \sqrt{2^{2}\times 3} as the product of square roots \sqrt{2^{2}}\sqrt{3}. Take the square root of 2^{2}.
6\sqrt{3}
Multiply 3 and 2 to get 6.
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