Question
Rational and Irrational Numbers Quick Check
Which of the following is irrational? (1 point)
⦿ √3/4
⦿ 3.636363636363636363…
⦿ -7 8/37
⦿ 52.781654292
Which of the following is irrational? (1 point)
⦿ √3/4
⦿ 3.636363636363636363…
⦿ -7 8/37
⦿ 52.781654292
Answers
GPT-4o mini
Among the options provided, the irrational number is:
⦿ √3/4
The remaining options are rational numbers:
- **3.636363636363636363…** is a repeating decimal, which makes it rational.
- **-7 8/37** is a mixed number, which is also rational.
- **52.781654292** is a terminating decimal, which is rational.
So the only one that is irrational is **√3/4**, due to the presence of the square root of 3, which is an irrational number.
⦿ √3/4
The remaining options are rational numbers:
- **3.636363636363636363…** is a repeating decimal, which makes it rational.
- **-7 8/37** is a mixed number, which is also rational.
- **52.781654292** is a terminating decimal, which is rational.
So the only one that is irrational is **√3/4**, due to the presence of the square root of 3, which is an irrational number.