slumped from 201 for one to 203 for four.
James Taylor (17) and Jos Buttler (24) made starts but could not carry on while captain Eoin Morgan added 46 before he was among three wickets to fall in four balls as England pushed to get the score over 300.
Josh Davey, whose first spell only lasted two overs with the first including four wides and the second conceding 14 runs, came back to claim four wickets for an expensive 68 runs.
Facing 304 to win was a huge mountain for Scotland to climb although opener Kyle Coetzer and skipper Preston Mommsen bravely took up the challenge.
A Mommsen boundary took them past the 100 mark in the 22nd over, five overs slower than England but with a healthy seven wickets in hand.
However, the game began to slip from Scotland soon after when Root ended the 60-run partnership for the fourth wicket when he removed Mommsen for 26.
Coetzer, who was dropped by Bell in the first over from James Anderson, was back in the pavillion eight balls after Mommsen for a 71 off 84 deliveries.
From there the last five wickets fell for 62 runs with Steven Finn picking up three for 26.
Score Board
Scotland won toss
England
M M Ali c Coleman b Haq 128
I R Bell c Coetzer b Berrington 54
G S Ballance b Evans 10
J E Root c Cross b Davey 1
*E J G Morgan c Mommsen b Davey 46
J W A Taylor st Cross b Davey 17
†J C Buttler c Davey b Wardlaw 24
C R Woakes c Mommsen b Davey 1
S C J Broad not out 0
S T Finn not out 1
Extras (b 1, lb 4, w 15, nb 1) 21
Total (8 wickets; 50 overs) 303
Did not bat: J M Anderson
Fall: 1-172, 2-201, 3-203, 4-203, 5-252, 6-297, 7-300, 8-300
Bowling: Wardlaw 10-1-60-1 (2w); Davey 10-0-68-4 (9w); Evans 10-1-46-1 (2w); Haq 10-0-51-1 (1nb); Berrington 5-0-43-1 (2w); Machan 2-0-11-0; Coetzer 3-0-19-0
Scotland
K J Coetzer c Woakes b Ali 71
C S MacLeod c Buttler b Anderson 4
F R J Coleman c Morgan b Woakes 7
M W Machan c Buttler b Finn 5
*P L Mommsen c Broad b Root 26
R D Berrington c Morgan b Ali 8
†M H Cross c Root b Finn 23
J H Davey c Buttler b Finn 9
R M Haq c Ballance b Woakes 15
A C Evans c Buttler b Anderson 9
I Wardlaw not out 0
Extras (lb 5, w 2) 7
Total (all out; 42.2 overs) 184
Fall: 1-17, 2-47, 3-54, 4-114, 5-122, 6-128, 7-150, 8-160, 9-184, 10-184
Bowling: Anderson 6-0-30-2; Broad 7-0-24-0 (1w); Woakes 5.2-0-25-2; Finn 9-3-26-3; Ali 10-0-47-2; Root 5-0-27-1 (1w);
Result: England won by 119 runs
Points: England 2, Scotland 0
Man of the Match: M M Ali (England)
Umpires: S Ravi (India) and R J Tucker (Australia). TV umpire: M Erasmus (South Africa). Match referee: D C Boon (Australia)