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Q: Is the square root of 2 plus the square root of 8 a rational or irrational number?

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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.

Yes

It is an irrational number because it can't be expressed as a fraction

No, never.

No. A rational plus an irrational is always an irrational.

Yes, always.

No. The sum of an irrational number and any other [real] number is irrational.

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