0
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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Can you add two positive irrational numbers and get a rational number?
no
Is the sum of any two irrational number is an irrational number?
The sum of two irrational numbers may be rational, or 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.
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.
Define irrational numbers?
An irrational number is a number that can't be exactly represented as the ratio of two integers.
