I tried using the binomial theorem but the terms keep increasing indefinitely
2026-04-19 04:06:14.1776571574
Find the minimum polynomial of $u$ over $Q$ where $u=\sqrt3-(1+(5/2)^{1/3})^{1/4}$
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Find a polynomial that $v=u-\sqrt{3}$ satisfies. It is degree $12$.
Substitute in so it is now $p(u)+\sqrt{3}q(u)=0$.
Try to find a polynomial, involving $p(u),q(u)$ and integer coefficients. lhf tells you it is degree-24.