Order the following numbers from least to greatest.

Answer:
[tex]\Huge \boxed{-2.3, \ \frac{-1}{3} , \ \sqrt{3} , \ \sqrt{7} , \ 5.1}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
We will convert the values into decimals for simplicity.
[tex]\sqrt{7} = 2.64575131106...[/tex]
[tex]-2.3=-2.3[/tex]
[tex]\sqrt{3} = 1.73205080757...[/tex]
[tex]5.1=5.1[/tex]
[tex]\displaystyle \frac{-1}{3} =-0.333333333...[/tex]
Arranging from least to greatest:
[tex]\displaystyle -2.3, \ \frac{-1}{3} , \ \sqrt{3} , \ \sqrt{7} , \ 5.1[/tex]
[tex]\rule[225]{225}{2}[/tex]