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Subjects>Math>Math & Arithmetic

Can a rational number plus an irrational number equal a rational number?

Anonymous

∙ 10y ago

Updated: 11/5/2022

No, never.

Wiki User

∙ 10y ago

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Q: Can a rational number plus an irrational number equal a rational number?

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Continue Learning about Math & Arithmetic

Can you subract an rational and irrational number and get an irrational number?

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

Is a rational plus an irrational equals a rational?

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

What is an irrational plus two rational numbers?

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.

Is a rational number plus a rational number rational?

Yes. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

Why is the sum of an rational number and irrational number an irrational number?

The rational numbers form a field. In particular, the sum or difference of two rational numbers is rational. (This is easy to check directly). Suppose now that a + b = c, with a rational and c rational. Since b = c - a, it would have to be rational too. Thus you can't ever have a rational plus an irrational equalling a rational.

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