New Zealand had set the game up on the final day by advancing their overnight 62 for two to 169 for six for a lead of 272, with Kane Williamson hopeful of tempting England in the final two sessions by declaring during lunch.
But a grandstand finish failed to materialise, with England defending resolutely in the face of some challenging bowling from New Zealand’s seamers on Sunday afternoon, meaning the teams head to Edgbaston next week all square.
Root had been eyeing a clean sweep in this summer’s seven Tests – two against the Kiwis and five versus India – but his knock of 40 in an important 80-run stand with Dom Sibley went a long way to guaranteeing a stalemate.
Opener Ali Orr’s debut 67, supplemented by 52 from Aaron Thomason, looked set to give inexperienced Sussex a notable draw as they reached tea at 165 for four in their second innings, still 80 adrift.
But five wickets from Dom Bess and David Willey triggered a remarkable collapse as Yorkshire moved within four points of Group Three leaders Lancashire with their fourth win, this one by an innings and 29 runs.