Question

Which of the following is irrational?(1 point)
3√/4
52.781654292
3.6363636363636363...
−7 8/37

Answer 1

To determine which of the given numbers is irrational, let's look at each one:

1. **3√/4**: This appears to be an incomplete notation, possibly intending to refer to \(\sqrt{3}/4\). Assuming this interpretation, \(\sqrt{3}\) is an irrational number, so \(\sqrt{3}/4\) is also irrational.

2. **52.781654292**: This number is a decimal representation, and since it terminates and does not have an infinite repeating sequence, it is a rational number.

3. **3.6363636363636363...**: This is a repeating decimal (3.63 with "63" repeating), which denotes a rational number.

4. **−7 8/37**: This is a mixed number. It can be converted to an improper fraction: \(-7 + \frac{8}{37} = \frac{-259 + 8}{37} = \frac{-251}{37}\), which is a rational number.

Given the analysis, the only number that is irrational is:

**\(\sqrt{3}/4\)**, assuming the understanding of “3√/4” refers to that.

If "3√/4" was meant to denote something else, please clarify, but based on standard notation, \(\sqrt{3}/4\) is irrational.