Answer:
[tex]2\frac{1}{3}[/tex], [tex]\sqrt{7}[/tex], [tex]\sqrt[3]{27}[/tex]
Step-by-step explanation:
If you want to make ordering these three numbers to be easier, it's best to find their exact or approximate values. [tex]\sqrt[3]{27}[/tex] is equivalent to 3, and [tex]\sqrt{7}[/tex] is less than [tex]\sqrt{9}[/tex] - which is 3 - so you know that [tex]\sqrt[3]{27}[/tex] is going to be the greatest number out of the set. Since [tex]\sqrt{7}[/tex] is approximately equal to 2.65, and [tex]2\frac{1}{3}[/tex] is approximately equal to 2.33, you can conclude that the correct order from least to greatest is going to be [tex]2\frac{1}{3}[/tex], [tex]\sqrt{7}[/tex], [tex]\sqrt[3]{27}[/tex].
