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3\sqrt{3}-6-\sqrt{3}
Factor 27=3^{2}\times 3. Rewrite the square root of the product \sqrt{3^{2}\times 3} as the product of square roots \sqrt{3^{2}}\sqrt{3}. Take the square root of 3^{2}.
2\sqrt{3}-6
Combine 3\sqrt{3} and -\sqrt{3} to get 2\sqrt{3}.