expression, ichidan verb
take root; become firmly established; be unmovable
Idiomatic expression meaning to become so settled or entrenched that one cannot easily leave or be moved. Often used for people who have become deeply attached to a place, job, or situation.
彼はこの町に根が生えたように住み続けている。
He has been living in this town as if he has taken root here.
あのソファに根が生えたみたいに動かないね。
He doesn't move from that sofa, as if he's rooted to the spot.