Final answer:
The list that contains an irrational number is B) 58, 2.5, 10 - √ because the square root of 10 is an irrational number as 10 is not a perfect square.
Step-by-step explanation:
An irrational number is a number that cannot be expressed as a simple fraction, meaning its decimal form is neither terminating nor repeating.
Looking through the options, we need to focus on the square root terms, as these are the most likely sources of irrational numbers if the radicand is not a perfect square.
- For option A) 15, 0, 9 - √ - the square root of 9 is 3, which is a rational number.
- For option B) 58, 2.5, 10 - √ - the square root of 10 is an irrational number because 10 is not a perfect square.
- For option C) 317, 0.40, 64 - √ - the square root of 64 is 8, a rational number.
- For option D) 12, 1.529783, 36 - √ - the square root of 36 is 6, also a rational number.
Therefore, the list that contains an irrational number is B) 58, 2.5, 10 - √.