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\frac{9-2\times 9\sqrt{3}}{3}
Factor 243=9^{2}\times 3. Rewrite the square root of the product \sqrt{9^{2}\times 3} as the product of square roots \sqrt{9^{2}}\sqrt{3}. Take the square root of 9^{2}.
\frac{9-18\sqrt{3}}{3}
Multiply -2 and 9 to get -18.