Evaluate
\frac{196\sqrt{10}}{5}-1182\approx -1058.038715721
Factor
\frac{2 {(98 \sqrt{10} - 2955)}}{5} = -1058.0387157213995
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-1182+196\times \frac{2\sqrt{10}}{\left(\sqrt{10}\right)^{2}}
Rationalize the denominator of \frac{2}{\sqrt{10}} by multiplying numerator and denominator by \sqrt{10}.
-1182+196\times \frac{2\sqrt{10}}{10}
The square of \sqrt{10} is 10.
-1182+196\times \frac{1}{5}\sqrt{10}
Divide 2\sqrt{10} by 10 to get \frac{1}{5}\sqrt{10}.
-1182+\frac{196}{5}\sqrt{10}
Multiply 196 and \frac{1}{5} to get \frac{196}{5}.
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