Q: Sum of two irrational number is?

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

It may be a rational or an irrational number.

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

Sqrt(2) and sqrt(3)

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.

Related questions

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

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

It may be a rational or an irrational number.

Such a sum is always irrational.

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

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

Sqrt(2) and sqrt(3)

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.

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.

The sum is irrational.

The sum or the difference between two irrational numbers could either be rational or irrational, however, it should be a real number.

The value of the sum depends on the values of the rational number and the irrational number.