Answer: [tex]2\sqrt{11}\ ft[/tex], Irrational number
Step-by-step explanation:
Given
The square rug has an area of [tex]44\ ft^2[/tex]
The area of the square rug is [tex]\left( \text{Side length}\right)^2[/tex]
Suppose the side length is [tex]x[/tex]
[tex]\therefore x^2=44\\\Rightarrow x=\sqrt{44}\\\Rightarrow x=2\sqrt{11}\ ft[/tex]
As [tex]\sqrt{11}[/tex] is irrational, therefore, [tex]2\sqrt{11}[/tex] is not a rational number.