Evaluate
\frac{5\sqrt{26}}{13}\approx 1.961161351
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\frac{200}{20\sqrt{26}}
Factor 10400=20^{2}\times 26. Rewrite the square root of the product \sqrt{20^{2}\times 26} as the product of square roots \sqrt{20^{2}}\sqrt{26}. Take the square root of 20^{2}.
\frac{200\sqrt{26}}{20\left(\sqrt{26}\right)^{2}}
Rationalize the denominator of \frac{200}{20\sqrt{26}} by multiplying numerator and denominator by \sqrt{26}.
\frac{200\sqrt{26}}{20\times 26}
The square of \sqrt{26} is 26.
\frac{5\sqrt{26}}{13}
Cancel out 2\times 20 in both numerator and denominator.
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