If something's inadmissible, it's not allowed or permitted, usually because it's seen to be irrelevant. Inadmissible evidence needs to stay out of the courtroom.
While you can use the adjective inadmissible to talk about anything that's not tolerated or is objectionable, it's most commonly used in a legal context. In a courtroom, when evidence is declared inadmissible by a judge, that means it can't be mentioned during a trial — it's not relevant or valid. Inadmissible adds the "not" prefix in- to admissible, from the Latin root admittere, "to allow to enter."