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\sqrt{6889-19^{2}}
Calculate 83 to the power of 2 and get 6889.
\sqrt{6889-361}
Calculate 19 to the power of 2 and get 361.
\sqrt{6528}
Subtract 361 from 6889 to get 6528.
8\sqrt{102}
Factor 6528=8^{2}\times 102. Rewrite the square root of the product \sqrt{8^{2}\times 102} as the product of square roots \sqrt{8^{2}}\sqrt{102}. Take the square root of 8^{2}.