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3\times 19\sqrt{19}
Factor 6859=19^{2}\times 19. Rewrite the square root of the product \sqrt{19^{2}\times 19} as the product of square roots \sqrt{19^{2}}\sqrt{19}. Take the square root of 19^{2}.
57\sqrt{19}
Multiply 3 and 19 to get 57.