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

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Q: If you add two irrational numbers do you get an irrational number?
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Related questions

Can you add two irrational numbers and get another irrational number?

Yes, you can.


Can 2 irrational add to an irrational number?

Yes. The sum of two irrational numbers can be rational, or irrational.


Can you add two positive irrational numbers and get a rational number?

no


Can you add two positive irrational numbers to get an irrational number?

Yes. sqrt(2) + sqrt(2) = 2*sqrt(2), an irrational number.


Is it true that if you add two irrational numbers you will always get a rational number?

yes


Can you add two positive irrational numbers to get an rational number?

Sure; for example, 10 + pi is irrational, 10 - pi is irrational. Both are positive. If you add them, you get 20.


Can you add two rational numbers and get an irrational number?

No. The set of rational numbers is closed under addition (and multiplication).


Can you add two irrational numbers and get a rational number?

Yes - if I had an irrational number x, and I added that to the number (7-x), I would end up with 7.If the number is irrational, it can be subtracted from a rational/integer to make another irrational.


How do you Find two rational and irrational nos. between 2.1 and 2.11?

For two rational numbers select any terminating or repeating decimal number which starts with 2.10 and for irrational numbers you require a non-terminating, non-repeating decimal which also starts with 2.10.


Is the sum of any two irrational number is an irrational number?

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


Can you add two irrational numbers to get an irrational number?

Yes.An example:1 + 2^(0.5) is an irrational number,1 -(2^(0.5)) is also a irrational number.(1 + 2^(0.5)) + (1- 2^(0.5)) = 22 is a rational number.Therefore the sum of two irrational numbers can equal a rational number.But this is not the question. Can you add two irrational numbers to get another irrational number. Yes. Almost all additions of two irrational numbers result in another irrational number. For instance pi (3.141...) and e (2.718...) are both irrational, and so is their sum. In some sense you have to work quite hard to make the sum not irrational (i.e. rational) because the two decimal expansions have to conspire together either to cancel out or to give a repeating decimal.Actually, pi+e may or may not be irrational. This hasn't been proved either way. See: http://en.wikipedia.org/wiki/Irrational_number (under "Open Questions")Yes. For example, pi + (-pi) = 0.any number that is a non-terminating decimal is called an irrational number.


Method to find an irrational number between two irrational numbers?

It is proven that between two irrational numbers there's an irrational number. There's no method, you just know you can find the number.