Evaluate
\frac{1467\sqrt{19}}{14}\approx 456.750339298
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146.7\times \frac{2\sqrt{19}}{2.8}
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}.
146.7\times \frac{5}{7}\sqrt{19}
Divide 2\sqrt{19} by 2.8 to get \frac{5}{7}\sqrt{19}.
\frac{1467}{14}\sqrt{19}
Multiply 146.7 and \frac{5}{7} to get \frac{1467}{14}.
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