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\frac{21500\sqrt{3}}{480\left(\sqrt{3}\right)^{2}}
Rationalize the denominator of \frac{21500}{480\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.
\frac{21500\sqrt{3}}{480\times 3}
The square of \sqrt{3} is 3.
\frac{1075\sqrt{3}}{3\times 24}
Cancel out 20 in both numerator and denominator.
\frac{1075\sqrt{3}}{72}
Multiply 3 and 24 to get 72.