Assume that variables x and y represent rational numbers. So, they can be written as x = a/b and y = c/d, where a, b, c, and d are integers, and b and d are not equal to zero. Use these variables and the closure property of integers to determine whether the product of two rational numbers is rational or irrational. Complete the hypothesis about the product of two rational numbers. Select the correct answer from each drop-down menu.
1) The product of two rational numbers is always rational.
2) The product of two rational numbers is always irrational.
3) The product of two rational numbers can be rational or irrational depending on the values of a, b, c, and d.
4) The product of two rational numbers cannot be determined.
