Evaluate
5\sqrt{5}+10101\approx 10112.180339887
Factor
5 \sqrt{5} + 10101 = 10112.180339887
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10101+\frac{10\sqrt{5}}{2}
Factor 500=10^{2}\times 5. Rewrite the square root of the product \sqrt{10^{2}\times 5} as the product of square roots \sqrt{10^{2}}\sqrt{5}. Take the square root of 10^{2}.
10101+5\sqrt{5}
Divide 10\sqrt{5} by 2 to get 5\sqrt{5}.
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