Question

Why we can walk on hard and rough surface than slippery surface

Answer 1

You push backward with your feet. Newton's third law: the ground pushes you forward.

But that interaction is friction. Reduce friction and it doesn't matter how strong your legs are, the surface is incapable of pushing you accordingly.

The coefficient of static friction is very low so it is easy to slide your foot rather than push. Accordingly, the ground doesn't push back.