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No. You can well multiply two Irrational Numbers and get a result that is not an irrational number.
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Earn +20 ptsQ: Is the set of irrational numbers closed under mulriplication?
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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.
Are irrational addition numbers closed under the closure property?
No. For example, the square root of two plus (minus the square root of two) = 0, which 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 rational numbers closed under division multiplication addition or subtraction?
Rational numbers are closed under addition, subtraction, multiplication. They are not closed under division, since you can't divide by zero. However, rational numbers excluding the zero are closed under division.
What classification of numbers do natural whole integers rational and irrational numbers all fall under?
They fall under "Real Numbers"
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