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\frac{-22\sqrt{11}}{9\left(\sqrt{11}\right)^{2}}
Rationalize the denominator of \frac{-22}{9\sqrt{11}} by multiplying numerator and denominator by \sqrt{11}.
\frac{-22\sqrt{11}}{9\times 11}
The square of \sqrt{11} is 11.
\frac{-2\sqrt{11}}{9}
Cancel out 11 in both numerator and denominator.