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\frac{4\sqrt{5}}{75\left(\sqrt{5}\right)^{2}}
Rationalize the denominator of \frac{4}{75\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.
\frac{4\sqrt{5}}{75\times 5}
The square of \sqrt{5} is 5.
\frac{4\sqrt{5}}{375}
Multiply 75 and 5 to get 375.