The Australians sealed a 120-run victory in the second Adelaide Test after a crushing 10-wicket triumph in the Brisbane opener, putting England's hopes of retaining the Ashes on the line in Perth next week.
Compounding England's task is the fact that the tourists have not beaten Australia at Perth's WACA Ground since 1978.
But Root put on a bold face after defeat Wednesday and said there was belief in the England camp that they can turn things around in the five-Test series and not head in the same direction as the 5-0 whitewash on the last tour to Australia in 2013-14.
"We've shown throughout the two Tests in periods we can out-perform Australia, but just not over five days.
"If we can perform to our ability for longer periods of time we'll win games. The belief in dressing room is definitely there."
Root said he "strongly disagreed" with the notion that his team are heading for the same fate as Alastair Cook's tourists four years ago.
"I don't think we're in the same situation (as last tour), we're much better than that. We're in a much better place," he said.
Root said he was disappointed in himself for not leading the way on the final day after getting dismissed on his overnight score of 67 in the day's third over by Josh Hazlewood.
"In big series senior players have to step up and lead from the front and I tried to do that last night, but unfortunately this morning I couldn't carry that on," he lamented.
"That's really disappointing as someone who wants to lead from the front and show the guys to lead the way. That hurts me a lot personally."
Root said there was no point complaining about of a series of "strange" decision reviews in his side's Adelaide loss.
"There were a number of decisions overturned, it was strange," he said.
"A few where we were out in the middle in the field and we thought that it's just regulation ... out.
"It's easy to criticise the umpires and it's easy to make excuses but it's a very difficult job. And just like players, you have good and bad days."
Root said there would continue to be issues with the decision review system (DRS).
"There is always going to be those questions asked about DRS - is the technology in the right place, could it be better?" he said.
"We are where we are with it and we have to get on with it because it's there for this series.
"If we moan and use it as an excuse then it's not going to help us.
"From our point of view as an England side, we have just got to try and eliminate the chance of it going against us."