| 21. | For all irrational numbers, the decimal expansion goes on forever and never repeats.
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| 22. | :Irrational numbers have a unique decimal expansion.
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| 23. | First, there was the previously mentioned reluctance to accept irrational numbers as true numbers.
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| 24. | Some ratios are between incommensurable quantities ( quantities whose ratio is an irrational number ).
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| 25. | They are credited with numerous mathematical advances, such as the discovery of irrational numbers.
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| 26. | :: They will be irrational, but not all irrational numbers fit that description.
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| 27. | It is also an irrational number.
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| 28. | These irrational numbers are called normal.
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| 29. | The Golden Ratio is an irrational number approximating 1.6180 which has special mathematical properties.
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| 30. | Every irrational number which is constructible.
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