Evaluate
\sqrt{5}+2\approx 4.236067977
Factor
\sqrt{5} + 2 = 4.236067977
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\frac{\left(5+2\sqrt{5}\right)\sqrt{5}}{\left(\sqrt{5}\right)^{2}}
Rationalize the denominator of \frac{5+2\sqrt{5}}{\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.
\frac{\left(5+2\sqrt{5}\right)\sqrt{5}}{5}
The square of \sqrt{5} is 5.
\frac{5\sqrt{5}+2\left(\sqrt{5}\right)^{2}}{5}
Use the distributive property to multiply 5+2\sqrt{5} by \sqrt{5}.
\frac{5\sqrt{5}+2\times 5}{5}
The square of \sqrt{5} is 5.
\frac{5\sqrt{5}+10}{5}
Multiply 2 and 5 to get 10.
\sqrt{5}+2
Divide each term of 5\sqrt{5}+10 by 5 to get \sqrt{5}+2.
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Limits
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