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Sure. For example, the sum of:root(2)

and:

- root(2)

is zero, which is rational.

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6y ago
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6y ago

Yes it can.

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Q: Can the sum of two irrational numbers ever be rational?
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Related questions

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.


Sum of two irrational numbers?

Can be rational or irrational.


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

Irrational


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

Such a sum is always rational.


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.


Are the sum of two rational numbers rational or irrational?

They are always rational.


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.


Is the sum of a rational number irrational?

No - the sum of any two rational numbers is still rational:


If you add two irrational numbers do you get an irrational number?

Not necessarily. The sum of two irrational numbers can be rational or irrational.


What is the sum of two irrational numbers?

It may be a rational or an irrational number.


The sum of rational numbers and an irrational number?

It is always an irrational number.