Yes, My Dear Mr. Bingley, directly to the to the root meaning of the word..(wrad)which meant branch/root-- licorice too, --but wortel itself is not mentioned. manglewurzels are-- and i don't think i need a degree in language to confirm that wortel is related to wort or wurzel-since carrots are a root vegetable
Wort came into english via the german, wyrt, but it is thought even the word rhizome, is related.. (coming to english from a greek word that is from the original IE root.

other words that come from the same root word include:
radish,
licorice
rutabaga
radical
radicle
radish
radix
deracinate
eradicate
irradiclable
ramose
ramus
ramify
rhizome
I'll confess, i don't know the meaning of all those words!