An Ostrich fern has a stoloneous root system.
moss would be one but even it has a tiny root system. every plant must have a root system so they have a way to get water and nutrients out of the earth.
The frond or leaf grows directly from the root system as ferns do not have a true stem
Fern plants have many fine fibrous roots.
stomata
The fronds of a fern grow from rhizomes. Rhizomes are underground stems that produce roots below and shoots above the soil. The fronds emerge from the shoots above the soil and are the visible leafy part of the fern.
Camas root, fern fiddleheads, wapato
A fibrous root system is the opposite of the tap root system (one main root).
the tap root
There are two types of root systems. taproot system and the fibrous root system.
Tap root system
The carrot plant's root system is a taproot