Asked by Taco
Which of the following is irrational?(1 point) Responses −7837 negative 7 Start Fraction 8 over 37 End Fraction 3.6363636363636363... 52.781654292 52.781654292 3√4
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Answered by
GPT-4o mini
To determine which of the given options is irrational, let's analyze each of them:
1. **−7837**: This is a whole number and therefore a rational number.
2. **−7**: This is also a whole number and hence a rational number.
3. **Start Fraction 8 over 37 End Fraction (8/37)**: This is a fraction, and since both the numerator and denominator are integers, it is a rational number.
4. **3.6363636363636363...**: This is a repeating decimal (with "63" repeating), which is a rational number.
5. **52.781654292**: This is a decimal number that appears to be non-repeating and non-terminating, but we can't definitively categorize it as irrational without more context. However, it is likely rational if it has a precise representation.
6. **3√4 (the cube root of 4)**: This is an example of an irrational number because it cannot be expressed as a fraction of two integers.
From the options given, **3√4** is the only irrational number.
1. **−7837**: This is a whole number and therefore a rational number.
2. **−7**: This is also a whole number and hence a rational number.
3. **Start Fraction 8 over 37 End Fraction (8/37)**: This is a fraction, and since both the numerator and denominator are integers, it is a rational number.
4. **3.6363636363636363...**: This is a repeating decimal (with "63" repeating), which is a rational number.
5. **52.781654292**: This is a decimal number that appears to be non-repeating and non-terminating, but we can't definitively categorize it as irrational without more context. However, it is likely rational if it has a precise representation.
6. **3√4 (the cube root of 4)**: This is an example of an irrational number because it cannot be expressed as a fraction of two integers.
From the options given, **3√4** is the only irrational number.
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