Final answer:
None of the given numbers (54, 25, 15, 169) are irrational. They are all rational numbers because each can be expressed as a fraction or is a perfect square (25 and 169).
Step-by-step explanation:
The numbers given in the question are 54, 25, 15, and 169. To determine whether these numbers are irrational or not, we can check if they can be represented as a ratio of two integers (i.e., they are rational numbers) or if they cannot be expressed in such a form, which would make them irrational. An irrational number cannot be written as a simple fraction because its decimal goes on forever without repeating.
In this case, every number provided is a perfect square:
- 54 is not a perfect square, but it is still a rational number because it can be expressed as the fraction ⅓ or 54/1.
- 25 is the square of 5, which means it is a rational number.
- 15 is not a perfect square, but it can also be expressed as a fraction, so it is a rational number.
- 169 is the square of 13, making it a rational number.
Therefore, none of these numbers are irrational; all of them are rational numbers.