Green’s Dictionary of Slang

root n.2

[? SE cheroot]

1. a cigarette.

[US]E.H. Babbitt ‘College Words and Phrases’ in DN II:i 55: root, n. A cigarette.
[US]Berrey & Van den Bark Amer. Thes. Sl.

2. (drugs) marijuana.

[US]J.E. Schmidt Narcotics Lingo and Lore.
[US]R.R. Lingeman Drugs from A to Z (1970) 221: root [...] A marijuana cigarette.
[US]Wentworth & Flexner DAS.
[US]Abel Marihuana Dict.
[US]ONDCP Street Terms 18: Root — Marijuana.