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\frac{12\sqrt{5}}{4\left(\sqrt{5}\right)^{2}}
Rationalize the denominator of \frac{12}{4\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.
\frac{12\sqrt{5}}{4\times 5}
The square of \sqrt{5} is 5.
\frac{3\sqrt{5}}{5}
Cancel out 4 in both numerator and denominator.