Do carrots have root hairs?

Hint: Root hairs can be defined as the cylindrical extensions of root epidermal cells which are important for the absorption of nutrients, microbe interactions and plant anchorage. The root hairs allow water to penetrate between the soil particles and also prevent harmful microorganisms from infecting the plant through xylem. Higher plants usually lack root hairs but have a specialized root system called mycorrhizae.

Complete explanation:
Yes, carrots have root hairs. Carrots have a tap root system where a conical shaped primary root is present. The wide top of the root narrows gradually toward the bottom and secondary roots arise from the sides of the primary root. The secondary roots are also called root hairs.
These root hairs increase the area for water and mineral absorption from the soil. The ability to branch out and cover more areas enables the taproot to anchor the plant tightly and firmly to the soil. The taproot and the root hairs can penetrate deep into the soil and acquire more nutrients and minerals.
The primary root is used for food storage by the plant which is then consumed as a vegetable by humans.

Note:
Mycorrhizae is present in plants that don't have root hairs. Mycorrhizae translates into fungus root which is generally a mutual relationship between the root of a plant and a fungus that colonizes the plant root. The fungi grows inside the plant’s roots or on the surfaces of the roots. The fungi enhance the water and nutrient uptake of the plant and the plant provides food and nutrients produced through photosynthesis to the fungi.