Sure; for example, 10 + pi is irrational, 10 - pi is irrational. Both are positive. If you add them, you get 20.
No, but you can add an irrational number and a rational number to give an irrational.For example, 1 + pi is irrational.
If an irrational number is added to, (or multiplied by) a rational number, the result will always be an irrational number.
An irrational number.
You can add any irrational number.
Every time. No exceptions.
No. 1) The square root of any positive integer that doesn't happen to be a perfect square is IRRATIONAL.2) If you add a rational and an irrational number, the result is irrational.
Yes. The sum of two irrational numbers can be rational, or irrational.
No, the result is always an irrational number. In more advanced math it is possible to add an infinite amount of rational numbers by way of Taylor Series and get an irrational number. This is how numbers like "Pi" and "e" are derived.