Final answer:
The appropriate and convenient route of administration for home administration of an antimicrobial to treat a systemic infection is oral.
Step-by-step explanation:
The appropriate and convenient route of administration for home administration of an antimicrobial to treat a systemic infection is oral. Oral administration refers to taking medication by mouth, usually in the form of a pill or liquid. This route of administration is commonly used for self-administration at home, as it is easy, convenient, and generally well-tolerated.
In contrast, intravenous administration involves delivering medication directly into a vein, which is typically done in a healthcare setting. Topical administration involves applying medication directly to the skin, and it may not be suitable for treating a systemic infection.