Start with this: first finger on F (1st fret E string) and go F,F#,G,G# (using all 4 fingers...) then move to the A string and do the same thing. When you complete the G go backwards starting on the G again (4321) until you get back to the 1st fret of the E string.
After you can do that smooth and at a decent tempo try doing the same thing but moving up a fret every time you change strings. E-1234, A-2345, D-3456, G-4567 then do that backwards.
If you get bored with that and want something harder to Root and 5th using 4 frets alternating strings. E string first fret (F), A string third fret (A), E string second fret (F#), A string fourth fret (C#) then move onto the A and D string then D and G string...then do it coming up 5th and root...G to D, D to A, A to E etc.
Let me know if this helps and you want more
