If the product of two irrational numbers is a rational number, then each of the two is …… of the other
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The product of any two irrational numbers
(1) Is always an irrational number
(2) Is always an rational number
(3) Is always an integer
(4) Can be rational or irrational number. Rational numbers are represented in p/q form where q is not equal to zero.
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Explanation:
The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational. "The product of two irrational numbers is SOMETIMES irrational."
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