Evaluate
8\sqrt{3}\approx 13.856406461
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\frac{8\sqrt{15}\sqrt{5}}{\left(\sqrt{5}\right)^{2}}
Rationalize the denominator of \frac{8\sqrt{15}}{\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.
\frac{8\sqrt{15}\sqrt{5}}{5}
The square of \sqrt{5} is 5.
\frac{8\sqrt{5}\sqrt{3}\sqrt{5}}{5}
Factor 15=5\times 3. Rewrite the square root of the product \sqrt{5\times 3} as the product of square roots \sqrt{5}\sqrt{3}.
\frac{8\times 5\sqrt{3}}{5}
Multiply \sqrt{5} and \sqrt{5} to get 5.
8\sqrt{3}
Cancel out 5 and 5.
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