Moeen's 120-run knock was the highlight of the opening day's play as England, having already conceded the five-match series 0-3, recovered to reach 284 for four at stumps after losing two wickets quickly in the first session.
"I thought the way Moeen played throughout was excellent. It was obviously quite tough to start the innings when he came out there in that situation. I mean just lost two wickets and the maturity he showed, which he has done throughout this year, has been brilliant. That added responsibility of batting higher up in the batting order he has taken really well on this tour and proved it with two brilliant hundreds.
Root hoped that England could go back home with a win under their belt.
"It would be really nice to go home with a win under our belt and we have set it up nicely today. It is about taking it forward tomorrow. And hopefully Moeen can carry on how he has played today. Stokesy can get in and play one of his mouth-watering innings he is capable of. Take the game to India and set it up nicely.
Asked whether he regretted playing the shot, when on 88, that caused him his wicket, Root said: "I would be lying if I say that I was not frustrated about it.
"But I don't think I would have done anything differently if I have my time again, I still be playing the same shot. I think it's something to keep maybe at the back of my mind but I am not going to change the way I am playing and I am still gonna go back to the business that I have done for the last year or so. It's about being better at it I think.
Root said he was not convinced that he had hit the ball in which he got out.
"No I was not convinced I hit it. Obviously technology suggested otherwise but it's disappointing when you are convinced that there's nothing. I mean look at the keeper's reaction he was not interested either. It was one of those where Kohli just went with his gut and it went in his favour. But it is what it is," he said.
"If you look at it, the bat was not near the floor then it would have been out. You have to take it on the chin, must have been a fine one, didn't hear a noise didn't feel anything on the bat. It could be one that just bypassed me and genuinely out. I could have been a bit childish with my reaction as I walked off but playing international cricket you gonna be disappointed when you feel outdone by even if you have not," Root explained.
"Obviously the nets weren't ready and it was the only surface we could find. A few of the local guys helped and we got a few of the things sorted. It was nice to have that peace of mind going into today. Just being able to not worry about any technical issues."
"You think about how lucky we are with the kind of practice facilities we get in international cricket. So go back to being a kid again, remember what it's like to play on the street. It's one of the reasons why you look to get into cricket. It's just pressure and thinking about the game, so just enjoy batting again. That feeling, it just relaxed me.
"I don't think I am going to do that anytime soon if there are wickets available but it was quite nice to do that," concluded Root.
