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\frac{45\sqrt{5}}{2\left(\sqrt{5}\right)^{2}}
Rationalize the denominator of \frac{45}{2\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.
\frac{45\sqrt{5}}{2\times 5}
The square of \sqrt{5} is 5.
\frac{9\sqrt{5}}{2}
Cancel out 5 in both numerator and denominator.