Which of the following is irrational?
A. ✓3/4
B. 3.636363636363
C. -7 8/37
D. 52.781654292
B. 3.636363636363
To identify which of the following options is irrational, we need to understand what an irrational number is. An irrational number is a real number that cannot be written as a fraction with integer numerator and denominator and has decimal representation that neither terminates nor repeats.
Let's analyze each option:
A. 3/4: This is a rational number because it can be written as a fraction with integer numerator and denominator.
B. 3.636363636363: This number repeats the decimal part, which means it is a rational number.
C. -7 8/37: This is a mixed number, which can be converted into a fraction. Therefore, it is a rational number.
D. 52.781654292: This number does not repeat and is not a fraction, so it cannot be expressed as a ratio of integers. Therefore, it is an irrational number.
Based on this analysis, the irrational number among the given options is D. 52.781654292.