Evaluate
2-3\sqrt{3}\approx -3.196152423
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2-3\sqrt{3}+\sqrt{54}-\sqrt{54}
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}.
2-3\sqrt{3}+3\sqrt{6}-\sqrt{54}
Factor 54=3^{2}\times 6. Rewrite the square root of the product \sqrt{3^{2}\times 6} as the product of square roots \sqrt{3^{2}}\sqrt{6}. Take the square root of 3^{2}.
2-3\sqrt{3}+3\sqrt{6}-3\sqrt{6}
Factor 54=3^{2}\times 6. Rewrite the square root of the product \sqrt{3^{2}\times 6} as the product of square roots \sqrt{3^{2}}\sqrt{6}. Take the square root of 3^{2}.
2-3\sqrt{3}
Combine 3\sqrt{6} and -3\sqrt{6} to get 0.
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