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\frac{45000\sqrt{3}}{480\left(\sqrt{3}\right)^{2}}
Rationalize the denominator of \frac{45000}{480\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.
\frac{45000\sqrt{3}}{480\times 3}
The square of \sqrt{3} is 3.
\frac{125\sqrt{3}}{4}
Cancel out 3\times 120 in both numerator and denominator.