His comments follow England's “horrendous” two-day defeat in Perth, which he criticised severely.
Despite their illustrious careers, neither Root nor Stokes has secured a Test victory in Australia, with Root having played 15 matches and Stokes 10 without a win.
Botham, who celebrated his 70th birthday on Monday, urged the pair to deliver a decisive response in Brisbane next week, suggesting this series could be their final opportunity.
He criticised England's current tactics, advising them to be more selective and sensible rather than adopting an overly aggressive approach.