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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.

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.

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.

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.

4.6 is rational.

It is irrational.

Yes, always.

Yes

Yes.

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

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