Show that ℚ(√(5) + √(5)) is Galois over ℚ and determine the Galois group.

Name: Show that ℚ(√(5) + √(5)) is Galois over ℚ and determine the Galois group.
Uploaded: 2022-03-20T07:11:58-08:00
Duration: 5 min 18 s
Channel: Pranil T
Description: Show that ℚ(√(5) + √(5)) is Galois over ℚ and determine the Galois group.

Question

Pranil T · Accepted Answer

Here in this question we have given a polynomial f x which goes to x to the power 4 plus x to th

Question

Show that \(\mathbb{Q}(\sqrt{5} + \sqrt[4]{5})\) is Galois over \(\mathbb{Q}\) and determine the Galois group.

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