The Aussie cricketers were joined by their families on the field as they savoured a series win that came after a decade.
Australia took the upper hand in the World Test Championship final against South Africa at Lord's, ending day two on 144-8 in their second innings with a lead of 218 runs after wickets tumbled freely again on Thursday.
Australia's batsmen must balance aggression with discipline to combat India in the third Test in Sydney after being pinned down by their bowlers in the first two matches, number three Marnus Labuschagne said.
Shubman Gill fell to a bizarre dismissal to a loose shot off the final ball of the morning session.
The hosts lost six wickets in the first session for 94 runs after resuming on four for no loss on Day 2 of the fourth Ashes Test in Melbourne.
The contest between England's dialled-down "Bazball" approach and Australia's more methodical batting could determine who prevails in the Ashes series beginning in Perth on Friday.
Marnus Labuschagne rode his luck to a home-ground century as Australia exploited India's injury woes and punished their poor fielding to reach 274 for five at the close of a steamy opening day of the series-deciding fourth and final Test, in Brisbane, on Friday.
Australia batting mainstay Steve Smith advised the 22-year-old Marnus Labuschagne to stay grounded after his meteoric rise in international cricket, which saw him post 896 runs at an average of 112, hitting four centuries -- two each against Pakistan and New Zealand -- this season so far.
Australia and West Indies are set to lock horns in five T20Is and three ODIs in July this year.
Australia and South Africa, two teams renowned for their batting prowess, will go head-to-head in Rawalpindi on Tuesday, aiming to secure a place in the Champions Trophy semifinals.
Australia looked destined for their biggest score of the series against India after a half century from debutant opener Will Pucovski helped them to 166 for two at the end of the rain-disrupted first day of the third Test in Sydney on Thursday.
IMAGES from Day 2 of the 3rd Test between Australia and New Zealand at the Sydney Cricket Ground in Sydney on Saturday
Even with the pressure of planning the Rajasthan Royals' IPL auction strategy in Jeddah, Saudi Arabia, former Team India head coach Rahul Dravid couldn't resist keeping an eye on the enthralling opening of the Border-Gavaskar Trophy in Perth.
Left-arm spinner Keshav Maharaj produced a career-best 5-33 to dismantle Australia and bowl South Africa to an emphatic 98-run victory in the opening one day international in Cairns on Tuesday.
'It's hard for me not to think, you know, as a man of faith, that there's not someone else pulling the strings.'
England's Stokes praises Australia's Head, supports his own errant batters
If the humiliation of India being able to declare their second innings on 487/6 reflected poorly on the bowling unit, it was the Australian batting line-up dismissed for 104 in their first innings that bore the brunt of the blame.
'That so many have reached such an advanced stage of their careers without obvious replacements is certainly a reflection of their quality, but will be a matter of concern in the case of more injuries during the series.'
Marnus Labuschagne scored a sparkling 185 to help Australia to a commanding lead before the home pace attack struck to leave Pakistan facing a heavy defeat on the third day of the first Test in Brisbane on Saturday.
Nathan McSweeney, who opened in the first three Tests with little success, has been dropped.
Root reached the milestone during his 69th WTC appearance - a single pushed to deep backward square leg brought up yet another half-century and sealed his place in the record books.
Australia bowled out Sri Lanka for 231 in the hosts' second innings and then chased down the target of 75 losing the lone wicket of opener Travis Head.
Australia's opening partnership has been the subject of much debate since David Warner retired and remains unresolved less than a month before the World Test Championship final against South Africa.
'It is about finding ways to score runs and contribute to the side in as many games as I can.'
Australia all-rounder Marnus Labuschagne, who is all set to make his Ashes debut, revealed that he once worked as a Hot Spot camera operator in a Test match against England in 2009, when fast bowler Peter Siddle claimed a hat-trick.
Australia, who won the preceding T20 series between the sides, lost opener Travis Head and number three Marnus Labuschagne inside four overs.
Tom Latham led New Zealand out on the field in Sydney on Friday in the absence of unwell Kane Williamson. Australia won the toss and decided to bat first. IMAGES from Day 1 of the 3rd Test between Australia and New Zealand in Sydney on Friday
The Australian media summed up their team's 295-run hammering by India in the opening Test with strong headlines such as 'Perth-etic Humiliation' and 'Monster Loss', former players called for some tough decisions, including sacking Marnus Labuschagne.
Australia ruthlessly completed a 159-run victory over West Indies in the first Test in Barbados on Friday after Josh Hazlewood's five-wicket masterclass broke the hosts' resistance on a pitch that deteriorated into a bowler's paradise.
Sam Konstas has vowed to take a more conventional approach than in his early Test appearances for Australia
Jasprit Bumrah overtook spin great Bishan Singh Bedi's all-time record for the most wickets by an Indian bowler in an away Test series.
Travis Head and Marnus Labuschagne missed individual centuries but forged Australia's highest partnership of the summer to earn the hosts a handy first innings lead against Sri Lanka on day two of the series opening day-night Test on Friday.
Pakistan's ODI series victory in Australia showcased the raw pace and skill of their fast bowling attack, spearheaded by Haris Rauf.
Spinners Dunith Wellalage (3-42) and Maheesh Theekshana (2-26) kept Sri Lanka in the hunt but Dasun Shanaka's side were left to rue a limp performance with the bat.
England have not won an Ashes Test match in Australia for nearly 15 years but their batting firepower could prove decisive in the series starting in Perth next month, according to former captain Alastair Cook.
Australia batsman Marnus Labuschagne said there has not been any talk about him opening the batting in the first Test against India but he is ready to bat at that slot if the team management asks him to do so.
Australia's batting sensation Marnus Labuschagne on Monday said he and his team would be "pretty devastated" if India don't tour Down Under later this year due to the coronavirus pandemic. India's tour of Australia will begin with a T20I tri-series in October and is scheduled to end with a four-match Test series in December. The speculation on the tour is because of the travel restrictions currently in place and the uncertainty surrounding how long it would take to control the pandemic.
India find themselves in a spot of bother against Australia in the third Test at Indore.
Australia's historic pedigree in cricket's biggest tournaments will count for nothing when they run into an Afghanistan side that is fast cementing its place in the game's top table in the Champions Trophy match in Lahore on Friday.
Australian run-machine Marnus Labuschagne is willing to "sacrifice" the use of saliva to shine the ball in order to get back on the field in the post coronavirus world as the batting all-rounder feels players must be able to adapt to new rules. There has been widespread speculations that the use of saliva and sweat to shine the ball will be stopped to cut down the risk of spreading the highly contagious coronavirus when cricket restarts.