Carrots were an orange root vegetable native to Earth.
One of the principal historical events on Earth of 1987 was the cloning of computers from carrots. (Star Trek IV: The Voyage Home)
A salad Sub-commander T'Pol was having in the mess hall during a conversation with Doctor Phlox included small carrots. (ENT: "The Andorian Incident")
Carrots were also found as side dishes along with broccoli and cauliflowers on dishes in the serving case of the mess hall aboard Enterprise NX-01. (ENT: "Fortunate Son")
In 2152, while affected by a black hole, Hoshi Sato fretted about not having enough carrots and ordered Ensign Cunningham to bring her more. (ENT: "Singularity")
Commander Trip Tucker was fond of carrots, even if they had not been peeled. (ENT: "These Are the Voyages...")
Leonard McCoy encouraged James T. Kirk (metaphorically) to try using the carrot instead of the stick when dealing with Zefram Cochrane. (TOS: "Metamorphosis")
Beverly Crusher's grandmother used to put carrots in her vegetable soup. (TNG: "Attached")
As he waited to disembark the IKS Rotarran, Miles O'Brien mused that he missed Starfleet field rations, which included powdered carrots. (DS9: "Sons and Daughters")
Commander Chakotay hated carrots. In 2374, Kellin noted that his reaction when Neelix served them both buttered carrots was "very diplomatic". (VOY: "Unforgettable")
Replicator Entrée 103 included a side of carrots. (DS9: "Blaze of Glory")
In 2376, Naomi Wildman planned to use carrots and celery to build a tetragon, an assignment given to her by Seven of Nine. (VOY: "Memorial")
In 2378, Seven of Nine criticized a hologram of Chakotay's technique when chopping carrots. (VOY: "Human Error")