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Find  the minimal  polynomial  over Q of   

11+sqrt3(13)

 Sep 12, 2018
 #1
avatar+5172 
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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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 Sep 12, 2018

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