Question

Which of the following is an irrational number: −1 5/29
, 0.343434..., 2√/3
, or 87.9821?(1 point)

Answer 1

To determine which of the given numbers is an irrational number, let's analyze each option:

1. **−1 5/29**: This is a mixed number, which can be expressed as a rational number. It is equal to \(-1 - \frac{5}{29}\), which is rational.

2. **0.343434...**: This is a repeating decimal, which can also be expressed as a fraction (\(\frac{34}{99}\)). Hence, it is rational.

3. **2√/3**: This notation appears to be a formatting issue, but if it means \(2 \sqrt{3}\), then \(\sqrt{3}\) is known to be an irrational number, and multiplying it by 2 does not change its irrationality. Thus, \(2 \sqrt{3}\) is irrational.

4. **87.9821**: This is a finite decimal number, which is rational.

Therefore, the irrational number from the given options is **2√3** (if that's what you intended).