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Irrational Numbers are not closed under any of the fundamental operations. You can always find cases where you add two irrational numbers (for example), and get a rational result. On the other hand, the set of real numbers (which includes both rational and irrational numbers) is closed under addition, subtraction, and multiplication - and if you exclude the zero, under division.
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Earn +20 ptsQ: What are irrational numbers closed under?
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Is the set of irrational numbers closed under addition?
no it is not
What operations are irrational numbers closed under?
None.
Are irrational numbers closed under subtraction?
No, they are not. An irrational number subtracted from itself will give 0, which is rational.
Can you add two rational numbers and get an irrational number?
No. The set of rational numbers is closed under addition (and multiplication).
Are irrational numbers closed under addition?
No. For example, the sum of pi and -pi is zero, which is rational - while each of the addends is irrational.
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