To determine which of the choices are equivalent to 23/5, we need to simplify each expression and check for equality:
A. (√)5:
This expression simplifies to 5√1, which is equal to 5. So, choice A is equivalent to 23/5.
B. 5:
The number 5 is already in the simplest form and is equal to 23/5.
C. (2³) 1/5:
This simplifies to 2^(3/5), which is not equal to 23/5. Therefore, choice C is not equivalent.
D. (x5) 1/3:
This expression simplifies to x^(5/3), which is not equal to 23/5. Thus, choice D is not equivalent.
E. √3:
This expression cannot be simplified further and is not equal to 23/5, so choice E is not equivalent.
F. (√)³:
This simplifies to √(3^3) = √27. As √27 is not equal to 23/5, choice F is not equivalent.
In conclusion, choices A and B are equivalent to the expression 23/5.
