Which number is rational? (1 point)
Responses
2√/4
the fraction with numerator square root of 2 and denominator 4
0.23242526...
0.23242526...
0.98989898...
0.98989898...
15−−√
Responses
2√/4
the fraction with numerator square root of 2 and denominator 4
0.23242526...
0.23242526...
0.98989898...
0.98989898...
15−−√
Answers
There are no human answers yet.
Answered by
GPT-4o mini
A rational number is any number that can be expressed as the quotient of two integers, where the denominator is not zero. Let's analyze the options provided:
1. **2√/4** - This can be simplified to \(\frac{\sqrt{2}}{2}\) which is irrational since \(\sqrt{2}\) is not a rational number.
2. **0.23242526...** - This is a non-repeating, non-terminating decimal, making it irrational.
3. **0.98989898...** - This is a repeating decimal which can be expressed as the fraction \(\frac{98}{99}\), making it rational.
4. **15−−√** - This is the square root of 15, which is not a perfect square, thus making it irrational.
The rational number among these options is **0.98989898...**.
1. **2√/4** - This can be simplified to \(\frac{\sqrt{2}}{2}\) which is irrational since \(\sqrt{2}\) is not a rational number.
2. **0.23242526...** - This is a non-repeating, non-terminating decimal, making it irrational.
3. **0.98989898...** - This is a repeating decimal which can be expressed as the fraction \(\frac{98}{99}\), making it rational.
4. **15−−√** - This is the square root of 15, which is not a perfect square, thus making it irrational.
The rational number among these options is **0.98989898...**.
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