Abstract Algebra: Algebraic Extensions?
Suppose that [E:Q] = 2. Show that there is an integer d such that E = Q(sqrt(d)) where d is not divisible by the square of any prime.
More Questions From This User See All
Suppose that [E:Q] = 2. Show that there is an integer d such that E = Q(sqrt(d)) where d is not divisible by the square of any prime.
Copyright © 2024 Q2A.ES - All rights reserved.
Answers & Comments
Verified answer
I did this problem a long time ago in college... A proof (which might need some cleaning up) is on http://math.stackexchange.com/questions/124230/ele...