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\sqrt{17677-129^{2}}
Multiply 11 and 1607 to get 17677.
\sqrt{17677-16641}
Calculate 129 to the power of 2 and get 16641.
\sqrt{1036}
Subtract 16641 from 17677 to get 1036.
2\sqrt{259}
Factor 1036=2^{2}\times 259. Rewrite the square root of the product \sqrt{2^{2}\times 259} as the product of square roots \sqrt{2^{2}}\sqrt{259}. Take the square root of 2^{2}.