Evaluate
\frac{15001\sqrt{19}}{950}\approx 68.829308476
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\frac{600.04}{\sqrt{76}}
Multiply 214.3 and 2.8 to get 600.04.
\frac{600.04}{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{600.04\sqrt{19}}{2\left(\sqrt{19}\right)^{2}}
Rationalize the denominator of \frac{600.04}{2\sqrt{19}} by multiplying numerator and denominator by \sqrt{19}.
\frac{600.04\sqrt{19}}{2\times 19}
The square of \sqrt{19} is 19.
\frac{600.04\sqrt{19}}{38}
Multiply 2 and 19 to get 38.
\frac{15001}{950}\sqrt{19}
Divide 600.04\sqrt{19} by 38 to get \frac{15001}{950}\sqrt{19}.
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