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\frac{7\sqrt{55}}{4\left(\sqrt{55}\right)^{2}}
Rationalize the denominator of \frac{7}{4\sqrt{55}} by multiplying numerator and denominator by \sqrt{55}.
\frac{7\sqrt{55}}{4\times 55}
The square of \sqrt{55} is 55.
\frac{7\sqrt{55}}{220}
Multiply 4 and 55 to get 220.