Calculate $\operatorname{Rad}(A/\operatorname{Rad}(A))$ in a Banach algebra

Question

Let $A$ be a Banach algebra with identity $e_A$, I'd like to find

$\operatorname{Rad}(A/\operatorname{Rad}(A)).$

whre we define

$\operatorname{Rad}(A)=\{a\in A:e_A-ba \in \text{InvA},b\in A\}$

I think it's equal $\operatorname{Rad}(A)$ but I don't khow how to prove that

Any piece of advice would be much appreciated.