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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)) = 2

2 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.

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

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Related questions

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

Yes, you can.

no

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

no

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

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

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

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

No, you can't.

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.

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.

In between any two rational numbers there is an irrational number. In between any two irrational numbers there is a rational number.

In between any two rational numbers there is an irrational number. In between any two Irrational Numbers there is a rational number.

yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.

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.

It may be a rational or an irrational number.

you can't FIGURE OUT THE SQUARE OF THE IRRATIONAL NUMBER

No. You can well multiply two irrational numbers and get a result that is not an irrational number.

no

Yes. pi - sqrt(2) is irrational.

Next to any rational number is an irrational number, but next to an irrational number can be either a rational number or an irrational number, but it is infinitely more likely to be an irrational number (as between any two rational numbers are an infinity of irrational numbers).

Yes Yes, the sum of two irrational numbers can be rational. A simple example is adding sqrt{2} and -sqrt{2}, both of which are irrational and sum to give the rational number 0. In fact, any rational number can be written as the sum of two irrational numbers in an infinite number of ways. Another example would be the sum of the following irrational quantities [2 + sqrt(2)] and [2 - sqrt(2)]. Both quantities are positive and irrational and yield a rational sum. (Four in this case.) The statement that there are an infinite number of ways of writing any rational number as the sum of two irrational numbers is true. The reason is as follows: If two numbers sum to a rational number then either both numbers are rational or both numbers are irrational. (The proof of this by contradiction is trivial.) Thus, given a rational number, r, then for ANY irrational number, i, the irrational pair (i, r-i) sum to r. So, the statement can actually be strengthened to say that there are an infinite number of ways of writing a rational number as the sum of two irrational numbers.

1+sqrt(2) and 1-sqrt(2) are both irrational but their sum, 2, is rational.