Question

Which number is rational? (1 point)
Responses

0.23242526...
0.23242526...

15−−√
square root of 15

2√4
the fraction with numerator square root of 2 and denominator 4

0.98989898...

Answer 1

A rational number is one that can be expressed as the ratio of two integers (i.e., a fraction).

Let's analyze the options:

1. **0.23242526...** - This is a non-repeating, non-terminating decimal, which is not rational.

2. **√15** - The square root of 15 is an irrational number because 15 is not a perfect square.

3. **2√4** - This simplifies to \(2 \times 2 = 4\), which is rational.

4. **0.98989898...** - This is a repeating decimal and can be expressed as a fraction (specifically \( \frac{98}{99} \)), so it is rational.

Therefore, the numbers that are rational from the options provided are **2√4 (which equals 4)** and **0.98989898...**. However, if the question asks for only one choice, then **0.98989898...** is a classic example of a repeating decimal that is rational, so is also a good answer.

If you need to select only one, either 0.98989898... or 4 (2√4) are correct as rational numbers.