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Q: Is a rational plus an irrational equals a rational?

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

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.

It is irrational.

Yes. Any irrational number can be divided by itself to produce 1, which is a rational number.

No, never.

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

rational. if it can be expressed as a fraction, it is rational.

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.

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.

It is irrational.

Yes.

Yes

Yes, always.

Yes. Any irrational number can be divided by itself to produce 1, which is a rational number.

4.6 is rational.

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