which of the statements using operations on rational or irrational numbers always results in a rational number?a) irrarional + irrationalb) irrational ÷ irrationalc) rational + irrationald) rational ÷ rational​

Hm a irrational number is a number like this:[tex]1.999999\inf[/tex]So adding a rational number, like 2, it would be irrational still:[tex]2+1.999999\inf=3.999999\inf[/tex]That being said, answer C is wrongNow, what is 2/2? Or 4/1? Whole numbers are one of the 3 types of rational numbers.[tex]2\ /\ 2=1\\\\4\ / 1=\ 4[/tex]Thus the answer appears to be DNow lets use the process of elimination to double check the answer:The wording of your question is what will help us out here:Which of the statements using operations on rational or irrational numbers always results in a rational number?Because of that, any of the choices that involve a irrational number can result with another irrational number like so:[tex]a)\ 1.999\inf+ 1.999\inf=3.888\inf\\\\b)\ 2.999\inf / 1.999\inf= 1.50025\inf[/tex]And there you go, the only answer that hasn't been proven wrong is answer D.Now, if you like this answer and would like to see more please make sure to Like, Comment, and Rate this answer! Also, be sure to send me a friend request, I'm always up for a Challenge!Thanks!