The hosts levelled up the four-match series 1-1 with a 330-run win at Old Trafford last week.
Cook scored 105 runs and 76 unbeaten, while Root racked up a total of 254 in the first innings and 71 not out.
"We had a look at Cook and Root again," Arthur told reporters. "We analysed our plans. We see them as a fundamental to England's batting. If we can get into them with the new ball we've got a real good chance."
The third Test gets underway tomorrow.