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Earn +20 ptsQ: Does irrational closed under all fundamental operations?
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Is the set of irrational numbers closed under mulriplication?
No. You can well multiply two irrational numbers and get a result that is not an irrational number.
Is an irrational number closed under division?
No. sqrt(8) is irrational sqrt(2) is irrational but sqrt(8) /sqtr(2) = sqrt(4) = ±2 is not irrational.;
Are whole numbers closed under the operations of multiplication?
Yes.
Is this set of negative numbers closed under multiplication or addition?
Yes. The empty set is closed under the two operations.
Is the set of irrational numbers closed under division?
No, it is not. Root2 and root 8 are each irrational. Root8 / root2 =2. 2 is not a member of the set.
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