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

Question

asked Jul 16, 2021 157k views

1 Answer

Datentyp · Answer 1 · 2021-07-20T06:56:59+0000

Answer:

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