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\frac{6\sqrt{5}}{5}-\frac{\sqrt{5}}{\left(\sqrt{5}\right)^{2}}
Rationalize the denominator of \frac{1}{\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.
\frac{6\sqrt{5}}{5}-\frac{\sqrt{5}}{5}
The square of \sqrt{5} is 5.
\sqrt{5}
Combine \frac{6\sqrt{5}}{5} and -\frac{\sqrt{5}}{5} to get \sqrt{5}.