Step 1: The outermost single layer of a young root is called the epiblema or piliferous layer.
Step 2: Certain cells of this epiblema layer, called trichoblasts, elongate outward as tubular unicellular extensions to form root hairs, which absorb water and minerals.
Step 3: Cortex lies beneath epiblema, endodermis is the innermost cortical layer, and pericycle lies just inside endodermis, none of them produce root hairs. So epiblema is correct.