Evaluate
\frac{8\sqrt{5}}{5}\approx 3.577708764
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\frac{\sqrt{64}}{\sqrt{5}}
Rewrite the square root of the division \sqrt{\frac{64}{5}} as the division of square roots \frac{\sqrt{64}}{\sqrt{5}}.
\frac{8}{\sqrt{5}}
Calculate the square root of 64 and get 8.
\frac{8\sqrt{5}}{\left(\sqrt{5}\right)^{2}}
Rationalize the denominator of \frac{8}{\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.
\frac{8\sqrt{5}}{5}
The square of \sqrt{5} is 5.
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