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\frac{\sqrt{243}}{\sqrt{49}}
Rewrite the square root of the division \sqrt{\frac{243}{49}} as the division of square roots \frac{\sqrt{243}}{\sqrt{49}}.
\frac{9\sqrt{3}}{\sqrt{49}}
Factor 243=9^{2}\times 3. Rewrite the square root of the product \sqrt{9^{2}\times 3} as the product of square roots \sqrt{9^{2}}\sqrt{3}. Take the square root of 9^{2}.
\frac{9\sqrt{3}}{7}
Calculate the square root of 49 and get 7.