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\sqrt{\frac{20}{49}}
Reduce the fraction \frac{40}{98} to lowest terms by extracting and canceling out 2.
\frac{\sqrt{20}}{\sqrt{49}}
Rewrite the square root of the division \sqrt{\frac{20}{49}} as the division of square roots \frac{\sqrt{20}}{\sqrt{49}}.
\frac{2\sqrt{5}}{\sqrt{49}}
Factor 20=2^{2}\times 5. Rewrite the square root of the product \sqrt{2^{2}\times 5} as the product of square roots \sqrt{2^{2}}\sqrt{5}. Take the square root of 2^{2}.
\frac{2\sqrt{5}}{7}
Calculate the square root of 49 and get 7.