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\sqrt{31+10077696}
Calculate 6 to the power of 9 and get 10077696.
\sqrt{10077727}
Add 31 and 10077696 to get 10077727.
11\sqrt{83287}
Factor 10077727=11^{2}\times 83287. Rewrite the square root of the product \sqrt{11^{2}\times 83287} as the product of square roots \sqrt{11^{2}}\sqrt{83287}. Take the square root of 11^{2}.