Example. An example for $F=\mathbb{Q}$ and $K=\mathbb{C}$ [1408AC]
Example. An example for $F=\mathbb{Q}$ and $K=\mathbb{C}$ [1408AC]
$$ \mathbb{Q}\left( \sqrt[3]{ 2 } \right) \cong \mathbb{Q}\left( \sqrt[3]{ 2 } e^{ 2 \pi i / 3 } \right). $$
$$ \mathbb{Q}\left( \sqrt[3]{ 2 } \right) \cong \mathbb{Q}\left( \sqrt[3]{ 2 } e^{ 2 \pi i / 3 } \right). $$