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\frac{\sqrt{405}}{\sqrt{784}}
Rewrite the square root of the division \sqrt{\frac{405}{784}} as the division of square roots \frac{\sqrt{405}}{\sqrt{784}}.
\frac{9\sqrt{5}}{\sqrt{784}}
Factor 405=9^{2}\times 5. Rewrite the square root of the product \sqrt{9^{2}\times 5} as the product of square roots \sqrt{9^{2}}\sqrt{5}. Take the square root of 9^{2}.
\frac{9\sqrt{5}}{28}
Calculate the square root of 784 and get 28.