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Is the sum of 2 irrational numbers always rational?

Updated: 11/1/2022

Wiki User

∙ 9y ago

Best Answer

No. The irrational parts may cancel out.

For example, 1 + sqrt(2) and 5 - sqrt(2) are both irrational but their sum is 1 + 5 = 6.

Wiki User

∙ 8y ago

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Q: Is the sum of 2 irrational numbers always rational?

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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.

Are the sum of two rational numbers rational or irrational?

They are always rational.

The sum of rational numbers and an irrational number?

It is always an irrational number.

Is the sum of a rational and irrational number rational or irrational?

It is always irrational.

What will be the sum of a rational number and an irrational number?

It will be irrational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

Related questions

Is the sum of two rational numbers is it rational or irrational?

Such a sum is always rational.

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.

Are the sum of two rational numbers rational or irrational?

They are always rational.

The sum of rational numbers and an irrational number?

It is always an irrational number.

Is the sum of a rational and irrational number rational or irrational?

It is always irrational.

The sum of two irrational is always irrational?

No. In fact, the sum of conjugate irrational numbers is always rational.For example, 2 + sqrt(3) and 2 - sqrt(3) are both irrational, but their sum is 4, which is rational.

Sum of two irrational numbers?

Can be rational or irrational.

What is the classification of the sum rational and irrational numbers?

Irrational

The sum of a rational number and an irrational number?

Such a sum is always irrational.

What will be the sum of a rational number and an irrational number?

It will be irrational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

Is the sum of two or more rational numbers is it rational or irrational?

The sum of two rational numbers is rational.From there, it follows that the sum of a finite set of rational numbers is also rational.

Is the sum of an irrational number and rational always irrational?

Yes.

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Is the sum of 2 irrational numbers always rational?

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