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lang-mma
Extension -> {Sqrt[2], Sqrt[3], Sqrt[5], Sqrt[6], Sqrt[11]}? When you have extended the field of the rationals bySqrt[2], Sqrt[3]you don't have to extend it as well bySqrt[6]since there is justSqrt[6], try e.g.Factor[-6 + x^2, Extension -> {Sqrt[2], Sqrt[3]}]. $\endgroup$