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\frac{\sqrt{144}}{\sqrt{81}}
Divide 576 by 4 to get 144.
\frac{12}{\sqrt{81}}
Calculate the square root of 144 and get 12.
\frac{12}{9}
Calculate the square root of 81 and get 9.
\frac{4}{3}
Reduce the fraction \frac{12}{9} to lowest terms by extracting and canceling out 3.