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\sqrt{64+10^{3}}
Calculate 8 to the power of 2 and get 64.
\sqrt{64+1000}
Calculate 10 to the power of 3 and get 1000.
\sqrt{1064}
Add 64 and 1000 to get 1064.
2\sqrt{266}
Factor 1064=2^{2}\times 266. Rewrite the square root of the product \sqrt{2^{2}\times 266} as the product of square roots \sqrt{2^{2}}\sqrt{266}. Take the square root of 2^{2}.