I WILL GIVE BRAINLEST TO THE CORRECT ANSWER AND YOU HAVE TO GIVE A GOOD EXPLANATION Why is the product of two rational numbers always rational? Select from the drop-down menus to correctly complete the proof. Let ab and cd represent two rational numbers. This means a, b, c, and d are ___.. , and b and d are not 0. The product of the numbers is acbd, where bd is not 0. Both ac and bd are ___... , and bd is not 0. Because acbd is the ratio of two ... , the product is a rational number.

first blank options:
integers
irrational numbers

second blank options:
integers
irrational numbers

third blank options:
integers
irrational numbers