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Q: Is an irrational number plus an irrational number equal a rational or an irrational number?

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Yes

No, never.

Yes, always.

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.

Yes. In fact, a rational plus or minus an irrational will always be irrational.

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

from another wikianswers page: say that 'a' is rational, and that 'b' is irrational. assume that a + b equals a rational number, called c. so a + b = c subtract a from both sides. you get b = c - a. but c - a is a rational number subtracted from a rational number, which should equal another rational number. However, b is an irrational number in our equation, so our assumption that a + b equals a rational number must be wrong.

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

10+0.01 = 10.01 and it is a rational number

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.

The sum is a rational number.

It is irrational.

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