Question

Which numbers are​ irrational?

A) 54
B) 25
C) 15
D) 169
Select all that apply.

Answer 1

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.