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3\times 2187\sqrt{3}
Factor 14348907=2187^{2}\times 3. Rewrite the square root of the product \sqrt{2187^{2}\times 3} as the product of square roots \sqrt{2187^{2}}\sqrt{3}. Take the square root of 2187^{2}.
6561\sqrt{3}
Multiply 3 and 2187 to get 6561.