Question

Question
Which number is rational? (1 point)
Responses

15−−√
square root of 15

0.98989898...
0.98989898...

0.23242526...
0.23242526...

2√/4

Answer 1

To determine which number is rational, we first need to remember that a rational number is any number that can be expressed as the quotient of two integers (where the denominator is not zero) or as a terminating or repeating decimal.

Let's analyze each option:

1. **15−−√** (square root of 15): This number is irrational because the square root of a non-perfect square is not a fraction.

2. **0.98989898…:** This is a repeating decimal (0.98 repeated), which can be expressed as a fraction (specifically, \(\frac{98}{99}\)). Thus, it is a rational number.

3. **0.23242526…:** This number does not exhibit a repeating pattern and appears to be a non-repeating decimal, making it irrational.

4. **2√/4:** This can be simplified to \(\frac{2\sqrt{2}}{4} = \frac{\sqrt{2}}{2}\). The square root of 2 is irrational, so this is also irrational.

Based on this analysis, the rational number from the options given is:

**0.98989898…**