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6\times 3\sqrt{34}
Factor 306=3^{2}\times 34. Rewrite the square root of the product \sqrt{3^{2}\times 34} as the product of square roots \sqrt{3^{2}}\sqrt{34}. Take the square root of 3^{2}.
18\sqrt{34}
Multiply 6 and 3 to get 18.