Evaluate
\frac{20\sqrt{3}}{3}\approx 11.547005384
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\frac{\sqrt{400}}{\sqrt{3}}
Rewrite the square root of the division \sqrt{\frac{400}{3}} as the division of square roots \frac{\sqrt{400}}{\sqrt{3}}.
\frac{20}{\sqrt{3}}
Calculate the square root of 400 and get 20.
\frac{20\sqrt{3}}{\left(\sqrt{3}\right)^{2}}
Rationalize the denominator of \frac{20}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.
\frac{20\sqrt{3}}{3}
The square of \sqrt{3} is 3.
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