Every finite extension of the field with characteristics $0$ is simple extension.

Question

We, know every splitting field a finite algebraic extension.

So, therefore every splitting field over the field with characteristics $0$ is a simple extension.

But, here I choose the irreducible polynomial $x^{3}-2 $ in $\mathbb{Q}[x]$.

Then , the splitting field of $x^{3}-2$ over $\mathbb{Q}$ is $\mathbb{Q}[\sqrt[3]{2},\sqrt{-3}]$ ,

But , now how could this extension $\mathbb{Q}[\sqrt[3]{2},\sqrt{-3}]$ generated only by one element?

Also, how to show that Every finite extension of the field with characteristics $0$ is simple extension ?