The all-rounder scored a patient 176 in the first innings and followed it up with a quickfire unbeaten 78 in 57 deliveries in their second to set up a declaration an hour into the final day.
Star batsman Root missed England's four-wicket defeat at Southampton in international cricket's return from lockdown last week after attending the birth of his second child.
Regular Test skipper Joe Root is likely to miss the first Test against West Indies at the Ageas Bowl starting July 8 as his wife is expecting their second child at the same time.
The Test series, to be played in a bio-secure environment from July 8 to counter the COVID-19 threat, is subject to the final approval of the UK government.
The largely well-received documentary has also been accused of being a public relations exercise given Cricket Australia had editorial control.
The coronavirus outbreak, which has infected over 7,00,000 people and caused more than 37,000 deaths worldwide, has forced the global sporting events to come to a standstill.
Due to the COVID-19 fears, the England Cricket Board (ECB) on March 20 announced that no professional cricket will be played in England and Wales until at least 28 May.
England captain Joe Root said his players will not be shaking hands on their tour of Sri Lanka in a bid to avoid the coronavirus.
England's next Test assignment will be against Sri Lanka, starting March 19 in Galle.
Jofra Archer, Jos Buttler, Ben Stokes and Mark Wood have been rested for the ODIs but kept for the T20s, with national selector Ed Smith saying that both squads have been chosen.
Root said Archer could take his cue from New Zealand's Neil Wagner, who took five for 44 in England's second innings and eight wickets in the match in total.
Root said he had been working on his batting shortcomings and denied the Test captaincy weighed on his performance in the drawn mid-year series against Australia.
Root said that Cook had informed him of his retirement decision in Southampton, and that this wouldn't be a distraction ahead of or during the fifth Test.
England now trail India by 18 runs with six wickets remaining in their first innings.
England are facing a big defeat to Australia on Monday's final day after they were bundled out for just 195, leaving the home side the task of scoring 170 runs to win.