Computations bers In Exercises 1 through 13, find the degree and a basis for the given field extension. Be preparec answers. vere 2. Q(/2, V3) over Q HoverQ > 4. Q2, /3) over Q nod 02 rover 8. Q(/2, J5) over Q O/272) over Q 2,002624) over Q rover A 个

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Section 31 number 2, 4, and 8 Please, I need help with 2, 4, and 8.
Computations
In Exercises 1 through 13, find the degree and a basis for the given field extension. Be prepared to justify your
answers.
2. Q(/2, /3) over Q
→ 4. Q(V2, v3) ov
O over O
2 over Q
VEOver O
8. Q(/2, V5) over Q
over O
OE624) over (Q
3) over 0(/3)
13. 2, V6
•C oorrecti
个个个
Transcribed Image Text:Computations In Exercises 1 through 13, find the degree and a basis for the given field extension. Be prepared to justify your answers. 2. Q(/2, /3) over Q → 4. Q(V2, v3) ov O over O 2 over Q VEOver O 8. Q(/2, V5) over Q over O OE624) over (Q 3) over 0(/3) 13. 2, V6 •C oorrecti 个个个
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