Say whether the following are true or false, backing up with examples, if is rational, and is irrational:
Sorry dude but I am posting the aspects of the course I am having trouble with before the exam (tomorrow).
These are exam questions from the Further discrete maths exam past papers.
The question is I dont know how to work out the answer?
You have to show whether or not they are irrational.
i know rational means it can be expressed as m/n, both integers. I think both are true that both are irrational? but I dont know how to prove it?
I had a little think about the first one using my brain and I think its a proof by contradiction, by writing m/n + b = p/q, so b= p/q - m/n = pn - mq/qn which is rational so if a + b is rational b is rational too. but the product i am not too sure?