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\sqrt{484-11^{2}}
Calculate 22 to the power of 2 and get 484.
\sqrt{484-121}
Calculate 11 to the power of 2 and get 121.
\sqrt{363}
Subtract 121 from 484 to get 363.
11\sqrt{3}
Factor 363=11^{2}\times 3. Rewrite the square root of the product \sqrt{11^{2}\times 3} as the product of square roots \sqrt{11^{2}}\sqrt{3}. Take the square root of 11^{2}.