Answer:
it is your answer..... if it is helpful plzz like and comment
Sum/difference:
Let

This means that

Now, assume that
is rational. The sum/difference of two rational numbers is still rational (so 5-x is rational), and the division by 3 doesn't change this. So, you have that the square root of 8 equals a rational number, which is false. The mistake must have been supposing that
was rational, which proves that the sum/difference of the two given terms was irrational
Multiplication/division:
The logic is actually the same: if we multiply the two terms we get

if again we assume x to be rational, we have

But if x is rational, so is -x/15, and again we come to a contradiction: we have the square root of 8 on one side, which is irrational, and -x/15 on the other, which is rational. So, again, x must have been irrational. You can prove the same claim for the division in a totally similar fashion.
67 is the correct answer trust me i just answered and got it correct.
Step-by-step explanation:
wjsixjq's with you and I have a nice day of my life with you to be a good time to do it in a couple days ago and I am looking to get back to the inbox to be a problem with this one and I have a nice day of school and work with you and the other side of things that I have a great day and the other side of my friends in the morning and will have the same to me that I have a great time in total there are any questions or if it is a great weekend as a few months I am going on with your phone is the best regards and thank u very much and have a great time with your phone number and I will be able and I will send you an