To determine which of the given numbers is irrational, let's analyze each one:
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−1 5/29: This is a mixed number. It can be converted to an improper fraction or expressed as a decimal. Since both parts (the whole number and the fractional part) are rational, this number is rational.
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0.343434...: This is a repeating decimal. Any decimal that repeats can be expressed as a fraction, which means it is rational.
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2√/3: The notation seems to be a bit unclear, but if we interpret it as \( \frac{2\sqrt{3}}{3} \), we can analyze it. The square root of 3 is irrational, and multiplying an irrational number (√3) by a rational number (2/3) results in an irrational number. Thus, \( \frac{2\sqrt{3}}{3} \) is irrational.
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87.9821: This is a finite decimal, which can be expressed as a fraction (for example, \( 879821/10000 \)). Therefore, it is rational.
Based on this analysis, the only irrational number in the list is 2√/3 (assuming it's interpreted as \( \frac{2\sqrt{3}}{3} \)).