Would the career change be worth it?
I doubt it...
Strong math knowledge will help you get through the academics however not all engineers calculate for a living..
The cost of the education, degree and career switch is unlikely to make you any richer.
Depends on the role. Be aware that there is not any assurances that you get a job as a Biomedical Engineer just because you get a degree in the field.What is a normal day like for a Biomedical Engineer?
Go this route because of passion..