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\frac{8\sqrt{3}}{4\left(\sqrt{3}\right)^{2}}
Rationalize the denominator of \frac{8}{4\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.
\frac{8\sqrt{3}}{4\times 3}
The square of \sqrt{3} is 3.
\frac{2\sqrt{3}}{3}
Cancel out 4 in both numerator and denominator.