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

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โˆ™ 2013-04-22 03:06:17
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Q: What will be the sum of a rational number and an irrational number?
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Related questions

The sum of a rational number and an irrational number and an irrational number is what?

The sum of the three can be rational or irrational.


May the sum of a rational and an irrational number only be a rational number?

No. In fact the sum of a rational and an irrational MUST be irrational.


What is the sum of a rational number and irrational number?

The value of the sum depends on the values of the rational number and the irrational number.


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

It is always irrational.


The sum of a rational number and an irrational number is?

The sum of a rational and irrational number must be an irrational number.


What does The sum of a rational number and irrational number equal?

The sum is irrational.


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An irrational number.


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

It is an irrational number.


What is the sum of a rational and irrational number?

irrational


Which number can be added to a rational number to explain that the sum of rational number and an irrational number is irrational?

Any, and every, irrational number will do.


The sum of a rational number and an irrational number?

Such a sum is always 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 the sum of any two irrational number is an irrational number?

The sum of two irrational numbers may be rational, or irrational.


Is it true that sum of a rational number and irrational number is irrational?

Yes


Is the sum or difference of a rational number and an irrational number is irrational?

Yes.


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It is always an irrational number.


Is the sum of a rational and irrational number never an irrational number?

Wrong. It is always an irrational number.


Is the sum of a rational number irrational?

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


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Explain why the sum of a rational number and an irrational number is an irrational number?

Let R1 = rational number Let X = irrational number Assume R1 + X = (some rational number) We add -R1 to both sides, and we get: -R1 + x = (some irrational number) + (-R1), thus X = (SIR) + (-R1), which implies that X, an irrational number, is the sum of two rational numbers, which is a contradiction. Thus, the sum of a rational number and an irrational number is always irrational. (Proof by contradiction)


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Is the sum of a rational number and an irrational number is irrational true or false?

It is true.


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It may be a rational or an irrational number.


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

Yes, that is so.