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  3. prove that l = {a + b √ 5i | a, b ∈ q} i

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

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Advance Math

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

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