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Consider pi and 4 - pi.

4 - pi + pi = 4, which is clearly rational. However, both pi and 4 - pi are irrational, as you can verify.

plz to be lerning numburs Then consider pi + pi = 2pi, which is clearly irrational. The sum of two Irrational Numbers, therefore, may or may not be rational.

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Q: Will the sum of two irrational numbers always be rational?

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Related questions

Such a sum is always rational.

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.

They are always rational.

It is always an irrational number.

It is always irrational.

Can be rational or irrational.

Such a sum 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.

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

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.

Yes.

Yes, always.

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