Yes, botanically speaking. However, they are often classified, and sold, as vegetables.
George Mateljan even specifies this himself in his book, the World's Healthiest foods.
While I wouldn't recommend his diet for weight loss (he's not a transformation specialist), his book is basically an encyclopedia for healthy eating (800+ pages).
He lists "peak seasons", "biochemical considerations" (for example, carrots are one of the foods most commonly associated with allergic reactions in those with latex allergies), and also lists the Best way to select, store, prepare, and cook all foods to preserve the most nutrients (for example, he recommends slicing carrots 1/4" thick and steaming for 5 minutes [al dente])
Sure, there are things I don't agree with(find me 1 source you agree with 100%), like eating tofu, but all in all, in regards to health, this is a great site with lots of recipes, and his book is pretty thorough!