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Why is the sum and product of two rational numbers is rational?

Anonymous

∙ 12y ago

Updated: 12/10/2022

A rational number can be stated in the form a/b where and b are integers. Adding or multiplying such numbers always gives another number that can be expressed in this form also. So it is also rational.

Wiki User

∙ 12y ago

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Is the sum or product of two rational numbers is rational?

Yes, it is.

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 product of two rational numbers irrational?

The product of two rational numbers is always a rational number.

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.

Related Questions

Is the sum or product of two rational numbers is rational?

Yes, it is.

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 two rational numbers is it rational or irrational?

Such a sum is always rational.

Is the product of two rational numbers irrational?

The product of two rational numbers is always a rational number.

Why the sum difference and product of 2 rational numbers rational?

A rational number is one that can be expressed as a/b The sum of two rational numbers is: a/b + c/d =ad/bd + bc/bd =(ad+bc)/bd =e/f which is rational The difference of two rational numbers is: a/b - c/d =ab/bd - bc/bd =(ab-bc)/bd =e/f which is rational The product of two rational numbers is: (a/b)(c/d) =ac/bd =e/f which is 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.

What are the two numbers with aproduct of 12 and a sum of 23?

When dealing with numbers greater than one, the sum will never be greater than the product. This question has no rational answer.

Are the sum of two rational numbers rational or irrational?

They are always rational.

Is the sum of a rational number irrational?

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

Is the sum of two rational numbers a rational number?

Yes, it is.

Is the sum of two rational numbers is two rational numbers?

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

What is true about the product of two rational numbers?

It will be rational.

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