Evaluate
\frac{10\sqrt{3093}}{3093}\approx 0.179808426
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\sqrt{\frac{800}{24744}}
Expand \frac{8}{247.44} by multiplying both numerator and the denominator by 100.
\sqrt{\frac{100}{3093}}
Reduce the fraction \frac{800}{24744} to lowest terms by extracting and canceling out 8.
\frac{\sqrt{100}}{\sqrt{3093}}
Rewrite the square root of the division \sqrt{\frac{100}{3093}} as the division of square roots \frac{\sqrt{100}}{\sqrt{3093}}.
\frac{10}{\sqrt{3093}}
Calculate the square root of 100 and get 10.
\frac{10\sqrt{3093}}{\left(\sqrt{3093}\right)^{2}}
Rationalize the denominator of \frac{10}{\sqrt{3093}} by multiplying numerator and denominator by \sqrt{3093}.
\frac{10\sqrt{3093}}{3093}
The square of \sqrt{3093} is 3093.
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