Question

How many positive integers have a value between the square root of 8 and the square root of 72?

Answer 1

6 numbers

Explanation:

Note that
`4<8<9,` then

`√(4)<√(8)<√(9)\\ \\2<√(8)<3`

and
`64<72<82,` then

`√(64)<√(72)<√(81)\\ \\8<√(72)<9`

List all positive integers which have a value between
`√(8)` and
`√(72):`

`3,\ 4,\ 5,\ 6,\ 7,\ 8`

Hence, there are 6 such numbers