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3\times 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}.
33\sqrt{3}
Multiply 3 and 11 to get 33.