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Both irrational and rational are real. Rational numbers are numbers that can be written as a fraction. Irrational Numbers cannot be expressed as a fraction.

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Q: How are irrational numbers and rational numbers alike?

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All of them are Real numbers.

yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.

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No. Real numbers are divided into two DISJOINT (non-overlapping) sets: rational numbers and irrational numbers. A rational number cannot be irrational, and an irrational number cannot be rational.

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The Real numbers

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The cubes of all rational numbers will be rational. But the cubes of irrational numbers can be either.