Chasing 476 for victory, Sri Lanka were all out for 212.
Fast bowler Suranga Lakmal took four for 27 to set up Sri Lanka's 10-wicket victory over Zimbabwe in the first Test in Harare on Thursday.
New Zealand skittled Sri Lanka out for 122 on Monday to secure a series-levelling victory by an innings and 65 runs on the final day of a rain-hit second and final Test in Colombo.
Images from Day 2 of the second Test between India and Sri Lanka, in Bengaluru, on Sunday.
Bowlers dominated the day with 16 wickets falling in the entire day.
Images from Day 2 in the first Test between India and Sri Lanka, in Mohali, on Saturday.
'I expect a bit more seam in this game and for the seamers to have more of a chance than perhaps they did in the last couple of Tests'
Prior to the series, Sri Lanka had not won a game in any format since October but become the first team from Asia to win a Test series in South Africa as they comfortably chased down a victory target of 197 on the third day.
Virat Kohli would hope for a turnaround when India take on an under-prepared Sri Lanka in the second Test in Bengaluru
Images from Day 3 in the first Test between India and Sri Lanka, in Mohali, on Sunday.
With pacer Jofra Archer, opener Rory Burns and star all-rounder Ben Stokes back in the England squad, the visitors are likely to have some competition for spots in the team for the 1st Test against India.
South Africa have slipped to number six in the world, behind fifth-placed Sri Lanka, and have a host of questions to answer, not least around a brittle top six and the balance of the side.
Sarfraz Ahmed will continue as Pakistan captain at the World Cup in May despite serving a suspension for breaching the anti-racism code, Pakistan Cricket Board (PCB) Chairman Ehsan Mani said on Tuesday.
Root said that spinning tracks will throw challenges to the visiting team but they are adapting to the conditions quickly.