Evaluate
\frac{\sqrt{5}\left(\sqrt{2}+3\right)}{5}\approx 1.974096319
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\frac{\left(\sqrt{2}+3\right)\sqrt{5}}{\left(\sqrt{5}\right)^{2}}
Rationalize the denominator of \frac{\sqrt{2}+3}{\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.
\frac{\left(\sqrt{2}+3\right)\sqrt{5}}{5}
The square of \sqrt{5} is 5.
\frac{\sqrt{2}\sqrt{5}+3\sqrt{5}}{5}
Use the distributive property to multiply \sqrt{2}+3 by \sqrt{5}.
\frac{\sqrt{10}+3\sqrt{5}}{5}
To multiply \sqrt{2} and \sqrt{5}, multiply the numbers under the square root.
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