Final answer:
The set of irrational numbers is not closed under multiplication, as multiplying two irrational numbers can result in a rational number.
Step-by-step explanation:
The Set of Irrational Numbers Is Closed Under Multiplication is False.
In mathematics, the set of irrational numbers consists of numbers that cannot be expressed as a ratio of two integers. When two irrational numbers are multiplied together, the result may be a rational number. For example, √2 * √2 = 2, which is a rational number. Therefore, the set of irrational numbers is not closed under multiplication.