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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No. You can well multiply two irrational numbers and get a result that is not an irrational number.
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.
no
The whole numbers are not closed under division! The statement is false since, for example, 2/3 is not a whole number.
No. sqrt(8) is irrational sqrt(2) is irrational but sqrt(8) /sqtr(2) = sqrt(4) = ±2 is not irrational.;