Answer:
6 numbers
Step-by-step explanation:
Note that [tex]4<8<9,[/tex] then
[tex]\sqrt{4}<\sqrt{8}<\sqrt{9}\\ \\2<\sqrt{8}<3[/tex]
and [tex]64<72<82,[/tex] then
[tex]\sqrt{64}<\sqrt{72}<\sqrt{81}\\ \\8<\sqrt{72}<9[/tex]
List all positive integers which have a value between [tex]\sqrt{8}[/tex] and [tex]\sqrt{72}:[/tex]
[tex]3,\ 4,\ 5,\ 6,\ 7,\ 8[/tex]
Hence, there are 6 such numbers
