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3-2+\sqrt{18}-\left(\sqrt{3}-1\right)^{0}
Calculate \frac{1}{3} to the power of -1 and get 3.
1+\sqrt{18}-\left(\sqrt{3}-1\right)^{0}
Subtract 2 from 3 to get 1.
1+3\sqrt{2}-\left(\sqrt{3}-1\right)^{0}
Factor 18=3^{2}\times 2. Rewrite the square root of the product \sqrt{3^{2}\times 2} as the product of square roots \sqrt{3^{2}}\sqrt{2}. Take the square root of 3^{2}.
1+3\sqrt{2}-1
Calculate \sqrt{3}-1 to the power of 0 and get 1.
3\sqrt{2}
Subtract 1 from 1 to get 0.