Evaluate
\frac{7\sqrt{5}}{5}+1\approx 4.130495168
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\frac{\left(7+\sqrt{5}\right)\sqrt{5}}{\left(\sqrt{5}\right)^{2}}
Rationalize the denominator of \frac{7+\sqrt{5}}{\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.
\frac{\left(7+\sqrt{5}\right)\sqrt{5}}{5}
The square of \sqrt{5} is 5.
\frac{7\sqrt{5}+\left(\sqrt{5}\right)^{2}}{5}
Use the distributive property to multiply 7+\sqrt{5} by \sqrt{5}.
\frac{7\sqrt{5}+5}{5}
The square of \sqrt{5} is 5.
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