Final answer:
To determine the value that is not located between √(9/3) and 2 on the number line, simplify the expressions and examine each option. The value that is not located between the two values is D) None of the above.
Step-by-step explanation:
To determine which value is not located between √(9/3) and 2 on the number line, we first need to simplify the expressions.
√(9/3) simplifies to √3 since √(9) = 3 and √(3) = √(9/3).
Therefore, we have √3 < 2. Now let's examine the given options:
A) √9 = 3, which is not less than √3 or 2.
B) 1/9 < √3 < 2, so it is indeed located between the two values.
C) (2/9)^2 = 4/81 < √3 < 2, so it is also located between the two values.
Therefore, the value that is not located between √(9/3) and 2 is option D) None of the above.