To rationalize the denominator of \(\frac{\sqrt{5}}{\sqrt{11}}\), you can multiply the numerator and the denominator by \(\sqrt{11}\):
\[ \frac{\sqrt{5}}{\sqrt{11}} \cdot \frac{\sqrt{11}}{\sqrt{11}} = \frac{\sqrt{5} \cdot \sqrt{11}}{\sqrt{11} \cdot \sqrt{11}}. \]
This simplifies to:
\[ \frac{\sqrt{55}}{11}. \]
Thus, the rationalized and simplified form of \(\frac{\sqrt{5}}{\sqrt{11}}\) is
\[ \frac{\sqrt{55}}{11}. \]
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