No. Two Irrational Numbers can be added to be rational. For example, 1/3 + 2/3 = 3/3. 1/3 and 2/3 are both irrational, but 3/3 = 1, which is rational.
It is always an irrational number.
No
The sum of two positive numbers is always a positive number.
Such a sum is always rational.
No. In fact, the sum of conjugate irrational numbers is always rational.For example, 2 + sqrt(3) and 2 - sqrt(3) are both irrational, but their sum is 4, which is rational.
Since the sum of two rational numbers is rational, the answer will be the same as for the sum of an irrational and a single rational number. It is always irrational.
They are always rational.
always positive
Such a sum is always irrational.
Can be rational or irrational.
The sum of two positive numbers is always positive.
The sum of two irrational numbers may be rational, or irrational.