Definition Call a number eld super-constructible if there is atower of eld extensions,
=0 1 =, where[+1 ]=1,2,or3.
1) Give an example of a eld that is not super-constructible.Prove that your example is correct.
2) Give an example of a super-constructible eld that is not aconstructible number eld. Prove that your answer is correct.