The power, class and pedigree of Rosenborg deservedly earned them a third round clash with Deportivo La Coruna with the first leg in Trondheim next week. Trailing by a single goal from the first leg, it was always going to be an uphill task for Bohemians especially after Azar Karadas had the home side ahead on the night on 44 minutes following stiff resistance by the visitors in the opening half.
Bohemians had an early let-off when Karadas burst down the right only to be taken down by a clumsy challenge by defender Simon Webb. But Dutch referee Ruud Bossen played the advantage rule to allow veteran Roar Strand to send over a low cross from the right missed by former Celtic man Harald Brattbakk.
Rosenborg lived dangerously on 13 minutes when a low cross from Robbie Doyle on the right almost let in Republic of Ireland striker Glen Crowe only for 'keeper Espen Johnsen to smother the close-range effort.
Doyle then tested Johnsen with a speculative 30 yard effort after collecting a loose ball in midfield. Then Rosenborg were fortunate when a poor cross from the left by Mark Rutherford failed to create the opening, with Doyle totally unmarked.
The Norwegians had a great opportunity to break the deadlock on 22 minutes when skipper Kevin Hunt took down Strand on the edge of the box. Fortunately for Bohemians, the resulting free by Fredrik Winsnes was deflected off Thomas Heary in the defensive wall for a corner.
Only the alertness of keeper Seamus Kelly prevented Rosenborg taking the lead when he dived to push away a misdirected header by Heary for a corner with the home side now applying all the pressure. Brattbakk then missed another clear opening after Kelly failed to cut out a cross from Christer Basma.
When Bohemians central defender, Colin Hawkins, took down Strand, Brattbakk's fiercely struck free kick from 22 yards was brilliantly pushed round the post by Kelly. Rosenborg then had appeals for a penalty turned down when Bohemians defender Damien Lynch appeared to take down Karadas.
But it was that man Karadas again, scorer of the only goal in the first leg at Dalymount Park last week, who eventually made the breakthrough on 44 minutes. After Doyle had a long range effort blocked, the ball was swept to the far end of the pitch for Frode Johnsen to swing over a cross from the right for fellow striker Karadas to head home from six yards giving Kelly no chance.
Rosenborg effectively booked their place in the third round when they grabbed a second goal on 51 minutes when defender Damien Lynch lost possession just inside the opponents half. In a swift counter-attack Orjan Berg was able to lay off a perfect ball for Brattbakk to rifle home from the edge of the box.
Karadas and Strand both went close to stretching the lead before Kelly performed more heroics when denying the eager Winsnes with a superb diving save. Brattbakk had the ball in net again on 64 minutes only for referee Bossen to rule out the goal for an earlier foul on Thomas Heary.
Even the introduction of substitutes Fergal Harkin, Dave Morrison and Paul Keegan could not swing the tie in Bohemians’ favour. Their night of misery was added to when Strand fired into the roof of the net from 20 yards after Harkin lost possession in attempting to clear a header by defender Heary.
Rosenborg's celebrations continued on 75 minutes when a quick free kick on the right allowed Basma to get in a low cross which totally eluded the Bohemians defence for Frode Johnsen to shot home at the far post. And it was only the brilliance of Kelly with two excellent late saves to prevent an even bigger margin of victory by the ruthless Norwegians.
BOHEMIANS Kelly; Lynch, Heary, Hawkins, Webb; Ryan, Hunt, Caffrey, Rutherford, Crowe, Doyle. Subs: Harkin for Rutherford (55 mins.), Morrison for Ryan (64 mins.), Keegan for Crowe (75 mins.)
ROSENBORG: E.Johnsen; Basma, Riseth, Hoftun, Stensaas; Strand, Berg, Winsnes; Karadas, F.Johnsen, Brattbakk.
Subs: Solli for Strand (67 mins.), Enerly for Winsnes (79 mins.).George for Karadas (85 mins.)
Referee: Ruud Bossen (Holland).