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\sqrt{3}-\sqrt{27}
Rewrite the division of square roots \frac{\sqrt{18}}{\sqrt{6}} as the square root of the division \sqrt{\frac{18}{6}} and perform the division.
\sqrt{3}-3\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}
Combine \sqrt{3} and -3\sqrt{3} to get -2\sqrt{3}.