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2\times 3\sqrt{3}\sqrt{7}
Factor 27=3^{2}\times 3. Rewrite the square root of the product \sqrt{3^{2}\times 3} as the product of square roots \sqrt{3^{2}}\sqrt{3}. Take the square root of 3^{2}.
6\sqrt{3}\sqrt{7}
Multiply 2 and 3 to get 6.
6\sqrt{21}
To multiply \sqrt{3} and \sqrt{7}, multiply the numbers under the square root.