<h3>Hm a irrational number is a number like this:</h3>
![1.999999\inf](https://tex.z-dn.net/?f=1.999999%5Cinf)
So adding a rational number, like 2, it would be irrational still:
![2+1.999999\inf=3.999999\inf](https://tex.z-dn.net/?f=2%2B1.999999%5Cinf%3D3.999999%5Cinf)
That being said, answer C is wrong
Now, what is 2/2? Or 4/1? Whole numbers are one of the 3 types of rational numbers.
![2\ /\ 2=1\\\\4\ / 1=\ 4](https://tex.z-dn.net/?f=2%5C%20%2F%5C%202%3D1%5C%5C%5C%5C4%5C%20%2F%201%3D%5C%204)
Thus the answer appears to be D
Now 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 <u>always results </u>in a <u>rational number?</u>
Because of that, any of the choices that involve a irrational number can result with another irrational number like so:
![a)\ 1.999\inf+ 1.999\inf=3.888\inf\\\\b)\ 2.999\inf / 1.999\inf= 1.50025\inf](https://tex.z-dn.net/?f=a%29%5C%201.999%5Cinf%2B%201.999%5Cinf%3D3.888%5Cinf%5C%5C%5C%5Cb%29%5C%202.999%5Cinf%20%2F%201.999%5Cinf%3D%201.50025%5Cinf)
And there you go, the only answer that hasn't been proven wrong is answer D.
<h3>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!</h3><h2>Thanks!</h2>