1. Prove or disprove: The degree of Q(2, 6 + 10) over (3+ 5) is 4....

 

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1. Prove or disprove: The degree of Q(2, 6 + 10) over (3+ 5) is 4. 2. Prove or disprove: Si a = 2, B = i3, where i = -1, then [G(Q(a, b)/Q(a))] = 3. 3. Prove or disprove: The polynomial f(x) = x5 + x4 + 1 Z [x] has one root in the field Z [x] 1. Prove or disprove: The degree of Q(2, 6 + 10) over (3+ 5) is 4. 2. Prove or disprove: Si a = 2, B = i3, where i = -1, then [G(Q(a, b)/Q(a))] = 3. 3. Prove or disprove: The polynomial f(x) = x5 + x4 + 1 Z [x] has one root in the field Z [x]