To determine which of the given numbers is irrational, let's analyze each option:
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−1 5/29 - This is a mixed number, which can be converted to an improper fraction: \(-1 - \frac{5}{29} = -\frac{29}{29} - \frac{5}{29} = -\frac{34}{29}\). This is a rational number.
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0.343434... - This is a repeating decimal, which can be expressed as a fraction \( \frac{34}{99} \). Since it can be written as a fraction, this is also a rational number.
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2√/3 - Assuming this is meant to be \(2 \sqrt{3}\), we note that the square root of 3 is an irrational number. Multiplying an irrational number by a rational number (2 in this case) results in an irrational number. Therefore, \(2\sqrt{3}\) is irrational.
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87.9821 - This is a finite decimal, and all finite decimals can be expressed as fractions. Thus, it is a rational number.
Based on this analysis, the only irrational number in the list is 2√/3 (assuming it meant \(2 \sqrt{3}\)).
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