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\frac{6\sqrt{379}}{1132}
Factor 13644=6^{2}\times 379. Rewrite the square root of the product \sqrt{6^{2}\times 379} as the product of square roots \sqrt{6^{2}}\sqrt{379}. Take the square root of 6^{2}.
\frac{3}{566}\sqrt{379}
Divide 6\sqrt{379} by 1132 to get \frac{3}{566}\sqrt{379}.