Evaluate
\frac{8\sqrt{15}}{15}\approx 2.065591118
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\sqrt{\frac{60+4}{15}}
Multiply 4 and 15 to get 60.
\sqrt{\frac{64}{15}}
Add 60 and 4 to get 64.
\frac{\sqrt{64}}{\sqrt{15}}
Rewrite the square root of the division \sqrt{\frac{64}{15}} as the division of square roots \frac{\sqrt{64}}{\sqrt{15}}.
\frac{8}{\sqrt{15}}
Calculate the square root of 64 and get 8.
\frac{8\sqrt{15}}{\left(\sqrt{15}\right)^{2}}
Rationalize the denominator of \frac{8}{\sqrt{15}} by multiplying numerator and denominator by \sqrt{15}.
\frac{8\sqrt{15}}{15}
The square of \sqrt{15} is 15.
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