Which of the following is irrational? (1 point)

√3
4
52.781654292
3.6363636363636363...
−7
8
37

1 answer

An irrational number cannot be expressed as a simple fraction (i.e., as the ratio of two integers), and its decimal representation does not terminate or repeat.

From the list you provided, the only irrational number is:

  • \( \sqrt{3} \)

The other numbers (4, 52.781654292, 3.6363636363636363..., -7, 8, 37) are all rational because they can either be written as a fraction or their decimal representations are either terminating or repeating. Specifically, 3.6363636363636363... is a repeating decimal, which still qualifies as a rational number.

Thus, the answer is:

\[ \sqrt{3} \]