Question

Find two consecutive whole numbers that \sqrt(24)
lies between.

Answer 1

4 and 5

Explanation:

Consider whole numbers 1, 2, 3, 4, 5, 6, ... and their squares

`1^2=1,\\ \\2^2=4,\\ \\3^2=9,\\ \\4^2=16,\\ \\5^2=25,\\ \\6^2=36,...`

The number
`√(24)` has a square
`(√(24))^2=24.`

Since
`16<24<25,` you can conclude that

`4<√(24)<5.`

Thus, two consecutive whole numbers that
`√(24)` lies between are 4 and 5.