Final answer:
A taproot system has a main root that grows down vertically, while a fibrous root system forms a dense network of roots near the soil surface. Taproot systems are found in dicots, while fibrous root systems are found in monocots.
Step-by-step explanation:
A taproot system, such as that of carrots, has a single main root that grows down vertically, with smaller lateral roots arising from it. On the other hand, a fibrous root system, such as that of wheat, forms a dense network of roots that is closer to the soil surface. Fibrous root systems are typically found in monocots, while taproot systems are commonly found in dicots.