rooted / routed are similar-sounding terms with different meanings (referred to as homophones). To better understand the differences, see below for definitions, pronunciation guides, and example sentences using each term. 👇
rooted: (verb) take root and begin to grow. (verb) come into existence, originate. (verb) plant by the roots. (verb) cause to take roots.
routed: (verb) send documents or materials to appropriate destinations. (verb) send via a specific route. (verb) divert in a specified direction.
rooted: r·UW·t·ah·d
routed: r·UW·t·ih·d
(Examples are Wikipedia snippets under the CC ShareAlike 3.0 license. Definitions drawn from WordNet.)