July 6th, 2015, 03:11 AM  #1 
Newbie Joined: May 2015 From: Poland Posts: 3 Thanks: 0  Normal closure
How to find normal closure over $\mathbb{Q}$ of that:$\mathbb{Q}\sqrt[5]{3})$ and that $\mathbb{Q}(\sqrt[7]{2}))$
Last edited by Frodo94; July 6th, 2015 at 03:33 AM. 
July 13th, 2015, 05:22 AM  #2 
Senior Member Joined: Apr 2014 From: Greater London, England, UK Posts: 320 Thanks: 155 Math Focus: Abstract algebra 
Just add a primitive complex root of unity.
Last edited by Olinguito; July 13th, 2015 at 05:29 AM. 

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