What are the differences between the root hairs and shoot hairs.

Hint: A root hair is a tubular outgrowth of a trichoblast, a hair-forming cell on the epidermis of a plant root. They arise as an outgrowth of the epidermis. Stem hair is generally multicellular and has additional cells. Stem hairs are usually called trichomes. Trichomes refer to fine outgrowth present on leaves and stems. Root hair helps in the functioning of root and stem hairs are known to provide additional support and adaptation to the stem.

Complete answer:
some of the difference between root hairs and stem hairs are ;

Root hairs are lateral extensions of a single cell and only rarely branched, they are visible to the naked eye and light microscope. They are found only in the region of the maturation of the root. Just prior to, and during, root hair cell development, there is elevated phosphorylase activity. They have thick cell walls and long life-span than shoot hairs. In many cases, trichomes protect plants from herbivorous insects that may want to feed on them. And in some cases, if the trichomes are especially stiff or irritating, they may protect a plant from larger herbivores.

Additional Information: -The function of root hairs is to collect water and mineral nutrients that are present in the soil and take this solution up through the roots to the rest of the plant. As root hair cells do not carry out photosynthesis they do not contain chloroplasts.
-Stem hairs can help to reduce evaporation by protecting the plant from wind and heat. In many cases, trichomes protect plants from herbivorous insects that may want to feed on them.
-Even they do not arise as outgrowths of the epidermal cells as well as long-lived.

Note: -The word trichomes means hair. They are fine outgrowths or appendages on plants, algae, lichens, and certain protists.
- They are of diverse structure and function. Examples are hairs, glandular hairs, scales, and papillae. Plant trichomes have many different features that vary between both species of plants and organs of an individual plant.
-Trichomes can protect the plant from a large range of detriments, such as UV light, insects, transpiration, and freeze intolerance.