Evaluate
\frac{1204\sqrt{10}}{5}\approx 761.476460569
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\frac{4816}{2\sqrt{10}}
Factor 40=2^{2}\times 10. Rewrite the square root of the product \sqrt{2^{2}\times 10} as the product of square roots \sqrt{2^{2}}\sqrt{10}. Take the square root of 2^{2}.
\frac{4816\sqrt{10}}{2\left(\sqrt{10}\right)^{2}}
Rationalize the denominator of \frac{4816}{2\sqrt{10}} by multiplying numerator and denominator by \sqrt{10}.
\frac{4816\sqrt{10}}{2\times 10}
The square of \sqrt{10} is 10.
\frac{1204\sqrt{10}}{5}
Cancel out 2\times 2 in both numerator and denominator.
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