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\sqrt{11\times 7\times 11}
Subtract 4 from 11 to get 7.
\sqrt{77\times 11}
Multiply 11 and 7 to get 77.
\sqrt{847}
Multiply 77 and 11 to get 847.
11\sqrt{7}
Factor 847=11^{2}\times 7. Rewrite the square root of the product \sqrt{11^{2}\times 7} as the product of square roots \sqrt{11^{2}}\sqrt{7}. Take the square root of 11^{2}.