Chelsea 2 Forest 0
Alvaro Morata’s goals, both set up by Callum Hudson-Odoi, took the FA Cup holders into the fourth round.
Morata nudged home Hudson-Odoi’s low right-wing cross four minutes into the second half.
And, shortly after Morata – unaware he was in any case offside – contrived to lift the ball over from three yards out after being set up by Ross Barkley, he doubled Chelsea’s lead.
Again Hudson-Odoi was the provider, delivering a fine cross from the right for the Spaniard to head into the far corner.
Cesc Fabregas, captaining Chelsea in what is likely to be his final appearance for the club, had a first-half penalty saved.
Fabregas, who is expected to join Monaco, stepped up after Ruben Loftus-Cheek was chopped down by Danny Fox just after the half-hour mark.
But keeper Luke Steele dived to his right to tip the Spaniard’s spot-kick around the post.
The standing ovation he received when he was substituted with five minutes remaining was a more fitting farewell for Fabregas, who has won two Premier League titles during his time at the Bridge.
Hudson-Odoi was excellent throughout, showing exactly why Bayern Munich want him – and why many Chelsea fans believe he should be given more of an opportunity to establish himself in the Blues first team.
Ethan Ampadu, meanwhile, further enhanced his reputation with a composed display in midfield.
But there was yet more frustration for Loftus-Cheek – another young player desperate to prove himself.
The England midfielder limped off three minutes before half-time and looked crestfallen as he left the pitch.