2. In the following item an extension field L/K is given. Find the degree of the extension and also find a basis a. K=Q, L= Q(√2, √-1) b. K=Q, L= Q(√2, √-1) c. K = Q, L= Q(√2, √3, √5) OSŤ

Q: Find the degree and a basis of the extension field Q(v3, v7) Q(V3 + v7). over

A: This question is from field theory's topic extension of field. Solution is given below.

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Q: 9. Use the field norm to show: a) 1+/2 is a unit in Z [/2] b) -1+v-3 is a unit in Z [1+-3 ]

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