We are given that: [tex] 2 < \sqrt{t} < 3.5 [/tex], so if we want to find out what t satisfies this, we have to square all of the compound inequality, giving us:
[tex] 4<t<12.25 [/tex]
So, the integers on this interval are clearly just 5,6,7,8,9,10,11 and 12. That means there are 8 integer values of t that fits the new inequality, so there are 8 roots of t that give us a value between 2 and 3.5
