Evaluate
\frac{\sqrt{5}\left(\sqrt{3}+8\right)}{5}\approx 4.352305433
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\frac{\left(8+\sqrt{3}\right)\sqrt{5}}{\left(\sqrt{5}\right)^{2}}
Rationalize the denominator of \frac{8+\sqrt{3}}{\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.
\frac{\left(8+\sqrt{3}\right)\sqrt{5}}{5}
The square of \sqrt{5} is 5.
\frac{8\sqrt{5}+\sqrt{3}\sqrt{5}}{5}
Use the distributive property to multiply 8+\sqrt{3} by \sqrt{5}.
\frac{8\sqrt{5}+\sqrt{15}}{5}
To multiply \sqrt{3} and \sqrt{5}, multiply the numbers under the square root.
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