answersLogoWhite

0


Best Answer

No. For example, -root(2) + root(2) is zero, which is rational.Note that MOST calculations involving Irrational Numbers give you an irrational number, but there are a few exceptions.

User Avatar

Wiki User

โˆ™ 2016-11-19 17:39:51
This answer is:
๐Ÿ™
0
๐Ÿคจ
0
๐Ÿ˜ฎ
0
User Avatar
Study guides

Math and Arithmetic

20 cards

What does multiplication property of inequality mean

There is little debate concerning the use of the death penalty

What are the solutions of irrational numbers

Which of these terms is used to indicate the Fifth Amendment right to not be tried twice for the same crime

โžก๏ธ
See all cards
1.0
โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…
1 Review
More answers
User Avatar

Wiki User

โˆ™ 2016-10-13 09:36:19

No, it need not be.

User Avatar

Add your answer:

Earn +20 pts
Q: Is the sum of two irrational number is always irrational?
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.


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.


Sum of two irrational number is?

irrational


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

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


What is the sum of two irrational numbers?

It may be a rational or an irrational number.


Is the sum of two irrational numbers irrational?

not always. nothing can be generalized about the sum of two irrational number. counter example. x=(sqrt(2) + 1), y=(1 - sqrt20) then x + y = 1, rational.


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

Such a sum is always rational.


Can 2 irrational add to an irrational number?

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


Two irrational number whose sum is an irrational number?

Sqrt(2) and sqrt(3)


Explain why the sum of a rational number and an irrational number is an irrational number?

Let R1 = rational number Let X = irrational number Assume R1 + X = (some rational number) We add -R1 to both sides, and we get: -R1 + x = (some irrational number) + (-R1), thus X = (SIR) + (-R1), which implies that X, an irrational number, is the sum of two rational numbers, which is a contradiction. Thus, the sum of a rational number and an irrational number is always irrational. (Proof by contradiction)


Are the sum of two rational numbers rational or irrational?

They are always rational.


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

Yes


What is the sum or difference of the any two irrational numbers?

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


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.


Why an irrational number plus an irrational number equal a rational?

That simply isn't true. The sum of two irrational numbers CAN BE rational, but it can also be irrational. As an example, the square root of 2 plus the square root of 2 is 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.


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

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


Is the product of two irrational numbers always an irrational number?

No. The square root of two is an irrational number. If you multiply the square root of two by the square root of two, you get two which is a rational number.


Why is the sum of two irrational numbers not always irrational?

Because the irrational parts may cancel out.For example, 1 + sqrt(2) and 5 - sqrt(2) are both irrational but their sum is 1 + 5 = 6.


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:


The sum of two odd number is?

The sum of two odd primes is always an even answer or number.


What happens when you add an odd number and an odd number?

Two odd numbers always sum to an even number. Always. Two even numbers always sum to an even number, and an odd number and an even number always sum to an odd number.