Yes, CARROT is a Scrabble word!

Letter values in Scrabble US: C 3, A 1, R 1, R 1, O 1, T 1.

Is it a valid word?

CARROT is a valid word in the official Scrabble dictionary (US), the UK Scrabble Dictionary and Words with Friends (ENABLE).

deep orange edible root of the cultivated carrot plant
perennial plant widely cultivated as an annual in many varieties for its long conical orange edible roots; temperate and tropical regions
orange root; important source of carotene
promise of reward as in "carrot and stick";

Also: cultivated carrot, daucus carota sativa.