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3\sqrt{40971}\sqrt{493678}
Factor 368739=3^{2}\times 40971. Rewrite the square root of the product \sqrt{3^{2}\times 40971} as the product of square roots \sqrt{3^{2}}\sqrt{40971}. Take the square root of 3^{2}.
3\sqrt{20226481338}
To multiply \sqrt{40971} and \sqrt{493678}, multiply the numbers under the square root.