Evaluate
\frac{3333\sqrt{19}}{19}\approx 764.642640991
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\frac{6666}{\sqrt{76}}
Multiply 3333 and 2 to get 6666.
\frac{6666}{2\sqrt{19}}
Factor 76=2^{2}\times 19. Rewrite the square root of the product \sqrt{2^{2}\times 19} as the product of square roots \sqrt{2^{2}}\sqrt{19}. Take the square root of 2^{2}.
\frac{6666\sqrt{19}}{2\left(\sqrt{19}\right)^{2}}
Rationalize the denominator of \frac{6666}{2\sqrt{19}} by multiplying numerator and denominator by \sqrt{19}.
\frac{6666\sqrt{19}}{2\times 19}
The square of \sqrt{19} is 19.
\frac{3333\sqrt{19}}{19}
Cancel out 2 in both numerator and denominator.
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