To identify the irrational number among the options provided, let's analyze each one:
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-1/29: This is a rational number because it can be expressed as a fraction of two integers (-1 and 29).
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0.343434...: This is a repeating decimal, which can also be expressed as a fraction (specifically, it equals 34/99), making it a rational number.
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√2/3: The square root of 2 (√2) is an irrational number, and when you divide it by 3, the result remains irrational. Therefore, √2/3 is irrational.
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87.9821: This is a finite decimal, and it can be expressed as a fraction (e.g., 879821/10000), making it rational.
From the options given, the only irrational number is √2/3.
So, the answer is √2/3.
1 answer