$a\in \mathbb{C}$ for which $[ \mathbb{Q}(a) : \mathbb{Q}(a^3) ] = 2$.

71 Views Asked by At

I want to find a $a\in \mathbb{C}$ for which $[ \mathbb{Q}(a) : \mathbb{Q}(a^3) ] = 2$. Any ideas? Thanks.

1

There are 1 best solutions below

0
On BEST ANSWER

Hint: Let $a$ be a primitive cube root of unity.