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\frac{5\sqrt{5}}{55\left(\sqrt{5}\right)^{2}}
Rationalize the denominator of \frac{5}{55\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.
\frac{5\sqrt{5}}{55\times 5}
The square of \sqrt{5} is 5.
\frac{\sqrt{5}}{5\times 11}
Cancel out 5 in both numerator and denominator.
\frac{\sqrt{5}}{55}
Multiply 5 and 11 to get 55.