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.