Angular momentum of an electron in an atom The Orbital Angular momentum of an electron in an atom is given by $\hbar \sqrt{l(l+1)}$ and the Spin Angular Momentum is $\hbar \sqrt{s(s+1)}$. So what is the resultant Angular momentum of an electron in an orbit in an atom?

I came across a question which asked the value of Angular momentum of an electron in its ground state in an atom. Does this refer to resultant of both kinds of Angular momentum, or am I misinterpreting the question?

Also, what exactly does ground state refer to in an atom? Is it the 1s orbital?
The question does not state what kind of atom, but I assume this is about the Hydrogen atom. In this case you can combine orbital and spin angular momentum according to Russell–Saunders coupling.

Since we are talking about the Hydrogen atom, the ground state is essentially just the $1s$ orbital. In general however, for many-electron systems, electronic states and orbitals are different things!