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Find the minimal polynomial over Q of

11+sqrt3(13)

Yousif.m Sep 12, 2018

1⁺⁰ Answers

+6251

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$x-(11+\sqrt[3]{13}) = 0 \\ x - 11 = \sqrt[3]{13} \\ \text{now cube both sides} \\ x^3-33 x^2+363 x-1331 = 13 \\ x^3-33 x^2+363 x-1318 = 0$

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Rom Sep 12, 2018

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