why does rough surface have greater friction then smooth surface?

yes ,it does as
more friction is produced on a hard surface than on a smooth surface it takes more force and brute strength to push something heavy on a rough surface, because it falls in the cracks. On a smooth surface you are just sliding across a surface

More friction is produced on a hard surface than on a smooth surface it takes more force and brute strength to push something heavy on a rough surface, because it falls in the cracks. On a smooth surface you are just sliding across a surface.

Friction is a force in which the irregularities(roughness) get interlocked and a body comes to rest. So, as many irregularities are there in the surface, the force will be that much more. As, rough surface has many irregularities so the force of friction is more than smooth surface which has less irregularities and the force is less.