That simply isn't true. The sum of two irrational numbers CAN BE rational, but it can also be irrational. As an example, the square root of 2 plus the square root of 2 is irrational.
7 plus the square root of 5 is an irrational number because the square root of 5 is a never ending decimal number that can't be expressed as a fraction.
The square root of any positive integer can only be a WHOLE NUMBER or IRRATIONAL, so the square root of 7 is irrational.On the other hand, the sum of a rational and an irrational number is always irrational.
Yes. In fact, a rational plus or minus an irrational will always be irrational.
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.
It is irrational.
It is an irrational number because it can't be expressed as a fraction
No. A rational plus an irrational is always an irrational.
No. The sum of an irrational number and any other [real] number is irrational.