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The sum of a rational number and an irrational number?

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Updated: 9/18/2022

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

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

Why will the sum of an irrational number and any other number always be irrational?

The proposition is not true.pi and -pi are both irrational. But their sum, = 0, is rational.

Can the sum of two irrational numbers be a rational number?

Yes

Is 1 plus the square root of 7 rational or irrational?

The square root of any positive integer can only be a WHOLE NUMBER or IRRATIONAL, so the square root of 7 is irrational.On the other hand, the sum of a rational and an irrational number is always irrational.

Is 10.01 a rational or irrational number?

10.01 is a rational number

Related Questions

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

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

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.

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

The sum is irrational.

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

An irrational number.

What is The sum of a ration and an irrational number?

The sum of the three can be rational or 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.

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

Yes.

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

Yes

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