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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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โˆ™ 2016-03-17 20:17:24
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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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โˆ™ 2011-04-16 14:30:36

Sure. The sum of two irrational numbers will USUALLY be irrational - in some cases it will be rational. For a start, if you add the irrational number with itself, you get another irrational number.

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

If you add two irrational numbers do you get an irrational number?

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


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

Yes, you can.


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

no


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


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 irrational number?

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


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).


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 and get an integer?

No, you can't.


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.


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.


Are there more rational numbers than irrational numbers true or false?

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


Are more rational numbers than irrational numbers true or false?

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


Are rational numbers is an irrational numbers?

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.


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.


What is the sum of two irrational numbers?

It may be a rational or an irrational number.


Is the square of two irrational numbers irrational?

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


Is the set of irrational numbers closed under mulriplication?

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


Can two add two positive irrational number and get a rational answer?

no


Can you subtract two irrational numbers and get an irrational number?

Yes. pi - sqrt(2) is irrational.


What is the Next to rational and irrational number?

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).


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

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.


Erika knows that when you add two rational numbers you get ar rational number therefor she concludes that the sum of two irrational numbers is irrational prove her wrong?

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