answersLogoWhite

0


Best Answer

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

User Avatar

Wiki User

โˆ™ 2012-05-05 12:02:16
This answer is:
๐Ÿ™
0
๐Ÿคจ
0
๐Ÿ˜ฎ
0
User Avatar

Add your answer:

Earn +20 pts
Q: What is the sum or difference of the any two irrational numbers?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

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

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


The difference of two irrational numbers is an irrattinal number?

The sum, or difference, of two irrational numbers can be rational, or irrational. For example, if A = square root of 2 and B = square root of 3, both the sum and difference are irrational. If A = (1 + square root of 2), and B = square root of 2, then, while both are irrational, the difference (equal to 1) is rational.


Sum of two irrational numbers?

Can be rational or irrational.


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.


Is the sum of a rational number irrational?

No - the sum of any two rational numbers is still rational:


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.


What is the sum of two irrational numbers?

It may be a rational or an irrational number.


The sum of rational numbers and an irrational number?

It is always an irrational number.


What is an irrational plus two rational numbers?

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.


What will be the sum of a rational number and an irrational number?

It will be irrational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.


Is the sum or difference of a rational number and an irrational number is irrational?

Yes.


Can 2 irrational add to an irrational number?

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


Is the sum of two irrational numbers also an irrational number?

Not necessarily. 3+sqrt(2) and 3-sqrt(2) are both irrational numbers. Their sum is 6 - a rational.


Is the sum of two irational numbers always irrational?

No


The sum of two irrational is always irrational?

No. In fact, the sum of conjugate irrational numbers is always rational.For example, 2 + sqrt(3) and 2 - sqrt(3) are both irrational, but their sum is 4, which is rational.


If three irrational numbers added together is the result irrational number?

You can not add irrational numbers. You can round off irrational numbers and then add them but in the process of rounding off the numbers, you make them rational. Then the sum becomes rational.


Can the sum of two irrational numbers be a rational number?

Yes


Is the sum of two irrational numbers necessarily irrational?

Yes, as long as the two are not mutual resiprocals.


Why will the sum of an irrational number and any other number always be irrational?

The proposition is not true.pi and -pi are both irrational. But their sum, = 0, is rational.


The sum of a rational number and an irrational number?

Such a sum is always irrational.


Is the sum of two rational numbers is it rational or irrational?

Such a sum is always rational.


How do you arrange the numbers 12345678 so that each sum and difference give the same answer?

You cannot. The sum and difference cannot be the same for any pair of non-zero numbers.


Write a numerical expression of the sum of two irrational numbers resulting in an irrational number?

sqrt(2) + sqrt(3) is irrational.


Are the sum of two rational numbers rational or irrational?

They are always rational.


Can the sum of two irrational numbers be rational if give an example if not explain why not?

1 + sqrt(2) is irrational 1 - sqrt(2) is irrational. Their sum is 2 = 2/1 which is rational.