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\sqrt{10000+2560000}
Calculate 1600 to the power of 2 and get 2560000.
\sqrt{2570000}
Add 10000 and 2560000 to get 2570000.
100\sqrt{257}
Factor 2570000=100^{2}\times 257. Rewrite the square root of the product \sqrt{100^{2}\times 257} as the product of square roots \sqrt{100^{2}}\sqrt{257}. Take the square root of 100^{2}.