Answer:
4 and 5
Step-by-step explanation:
Consider whole numbers 1, 2, 3, 4, 5, 6, ... and their squares
[tex]1^2=1,\\ \\2^2=4,\\ \\3^2=9,\\ \\4^2=16,\\ \\5^2=25,\\ \\6^2=36,...[/tex]
The number [tex]\sqrt{24}[/tex] has a square [tex](\sqrt{24})^2=24.[/tex]
Since [tex]16<24<25,[/tex] you can conclude that
[tex]4<\sqrt{24}<5.[/tex]
Thus, two consecutive whole numbers that [tex]\sqrt{24}[/tex] lies between are 4 and 5.
