Question

Which number is rational? (1 point)
Responses

0.23242526...
0.23242526...

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

0.98989898...
0.98989898...

15−−√

Answer 1

To determine which number is rational, let's analyze each option:

1. **0.23242526...** - This number has a non-repeating, non-terminating decimal, which is likely an irrational number.

2. **2√4** - This simplifies to 2 * 2 = 4, which is a rational number.

3. **The fraction with numerator square root of 2 and denominator 4** (which can be represented as \(\frac{\sqrt{2}}{4}\)) - This is irrational since \(\sqrt{2}\) is an irrational number, and dividing an irrational number by a rational number still results in an irrational number.

4. **0.98989898...** - This is a repeating decimal, which can be expressed as the fraction \(\frac{98}{99}\), making it a rational number.

5. **15−−√** - The square root of 15 is an irrational number.

Given this analysis, both **2√4** (which equals 4) and **0.98989898...** are rational numbers. However, since you are looking for a single answer:

The best answer would be **0.98989898...** as it is explicitly a repeating decimal that confirms its rational nature, but **2√4**, which is equal to 4, is also rational.

Thus, the most straightforward answer is **0.98989898...**.