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\frac{\sqrt{5}}{\left(\sqrt{5}\right)^{2}}+1
Rationalize the denominator of \frac{1}{\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.
\frac{\sqrt{5}}{5}+1
The square of \sqrt{5} is 5.
\frac{\sqrt{5}}{5}+\frac{5}{5}
To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{5}{5}.
\frac{\sqrt{5}+5}{5}
Since \frac{\sqrt{5}}{5} and \frac{5}{5} have the same denominator, add them by adding their numerators.