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3\times 3\sqrt{14}
Factor 126=3^{2}\times 14. Rewrite the square root of the product \sqrt{3^{2}\times 14} as the product of square roots \sqrt{3^{2}}\sqrt{14}. Take the square root of 3^{2}.
9\sqrt{14}
Multiply 3 and 3 to get 9.