Answer:
The answer is irrational
Step-by-step explanation:
we know that
The area of a square is given by the formula
[tex]A=b^2[/tex]
where
b is the length side of the square
In this problem we have
[tex]A=150\ ft^2[/tex]
substitute in the formula
[tex]b^2=150[/tex]
take the square root both sides
[tex]b=\sqrt{150}\ ft\\[/tex]
simplify
[tex]b=5\sqrt{6}\ ft[/tex]
Remember that
A Rational Number is a number that can be made by dividing two integers
so
The length side is not a integer
therefore
The answer is irrational
