Is $\mathbb{Q}(\sqrt 2,\sqrt 3,\sqrt 5)$ a simple extension?
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Is $\mathbb{Q}(\sqrt 2,\sqrt 3,\sqrt 5)$ a simple extension?
If yes, what is an explicit generator of this extension?
abstract-algebrafield-theoryextension-field
asked 2011-03-30
user id:8465
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It is a general fact that a finite separable extension is a simple extension (the primitive element theorem, http://en.wikipedia.org/wiki/Primitive_element_theorem). – 2011-03-30