Evaluate
\frac{3\sqrt{519}}{40}\approx 1.708617862
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\sqrt{13-\left(\frac{127}{40}\right)^{2}}
Subtract \frac{73}{40} from 5 to get \frac{127}{40}.
\sqrt{13-\frac{16129}{1600}}
Calculate \frac{127}{40} to the power of 2 and get \frac{16129}{1600}.
\sqrt{\frac{4671}{1600}}
Subtract \frac{16129}{1600} from 13 to get \frac{4671}{1600}.
\frac{\sqrt{4671}}{\sqrt{1600}}
Rewrite the square root of the division \sqrt{\frac{4671}{1600}} as the division of square roots \frac{\sqrt{4671}}{\sqrt{1600}}.
\frac{3\sqrt{519}}{\sqrt{1600}}
Factor 4671=3^{2}\times 519. Rewrite the square root of the product \sqrt{3^{2}\times 519} as the product of square roots \sqrt{3^{2}}\sqrt{519}. Take the square root of 3^{2}.
\frac{3\sqrt{519}}{40}
Calculate the square root of 1600 and get 40.
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