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In: Advanced Math

Prove that L = {a + b √ 5i | a, b ∈ Q} is a...

Prove that L = {a + b √ 5i | a, b ∈ Q} is a field containing the roots of x2 + 5. Moreover, prove that if Q ⊆ K ⊆ C is a field containing the roots of x2 + 5, then L ⊆ K.

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Colby Messinger answered 2 years ago
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