Please help me to answer the following problem:
Let $f(x)=x^3-3x-5\in\mathbb{Q}[x]$ Thanks
2026-02-22 19:52:10.1771789930
How to find $\operatorname{Gal}(S/\mathbb{Q})$
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Since $f(x)$ is irreducible and since $756$ is not the square of a rational number, the answer is $S_3$.