answersLogoWhite

0


Best Answer

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.

User Avatar

Wiki User

โˆ™ 2016-11-17 03:50:56
This answer is:
๐Ÿ™
0
๐Ÿคจ
0
๐Ÿ˜ฎ
0
User Avatar
Study guides

Algebra

20 cards

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

โžก๏ธ
See all cards
3.7
โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…
323 Reviews
More answers
User Avatar

Wiki User

โˆ™ 2010-02-21 15:07:32

An irrational number plus an irrational number is NOT ALWAYS a rational number. For example, pi + pi = 2xpi, which is still irrational.

User Avatar

Add your answer:

Earn +20 pts
Q: Why an irrational number plus an irrational number equal a rational?
Write your answer...
Submit
Related questions

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

Yes


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

No, never.


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

Yes, always.


Is an irrational number plus an irrational number equal a rational or an irrational number?

An irrational number is a number that has no definite end. So it can't be multiplied or divided by anything to make a rational number that does have a definite end.


Can you subract an rational and irrational number and get an irrational number?

Yes. In fact, a rational plus or minus an irrational will always be irrational.


Is a rational plus an irrational equals a rational?

No. A rational plus an irrational is always an irrational.


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

from another wikianswers page: say that 'a' is rational, and that 'b' is irrational. assume that a + b equals a rational number, called c. so a + b = c subtract a from both sides. you get b = c - a. but c - a is a rational number subtracted from a rational number, which should equal another rational number. However, b is an irrational number in our equation, so our assumption that a + b equals a rational number must be wrong.


Is an irrational number plus an irrational number rational?

No. The sum of an irrational number and any other [real] number is irrational.


Is 10 plus 0.01 rational oe irrational?

10+0.01 = 10.01 and it is a rational 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.


Is 15 plus 0.07 a rational or irrational numer?

The sum is a rational number.


If x is a rational number and y is an irrational number what can you say about x plus y?

It is irrational.


Is 17 plus 0.02 rational or irrational?

They add up to 17.02 which is rational number


Is pi plus pi a rational or irrational number?

It is irrational, just like pi


Is 12 plus 0.05 rational or Irrational number?

It can be written as a fraction, so it is rational.


Is the square root of 2 plus the square root of 8 a rational or irrational number?

irrational


Is a rational number plus a rational number rational?

Yes. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.


How can you prove that 3 plus 2xโต is an irrational number where xโต is irrational?

1) Adding an irrational number and a rational number will always give you an irrational number. 2) Multiplying an irrational number by a non-zero rational number will always give you an irrational number.


Why is the sum of an rational number and irrational number an irrational number?

The rational numbers form a field. In particular, the sum or difference of two rational numbers is rational. (This is easy to check directly). Suppose now that a + b = c, with a rational and c rational. Since b = c - a, it would have to be rational too. Thus you can't ever have a rational plus an irrational equalling a rational.


Is 7 plus the square root of 5 irrational and why?

7 plus the square root of 5 is an irrational number because the square root of 5 is a never ending decimal number that can't be expressed as a fraction.


Is 10 plus 0.1 rational or irrational?

rational. if it can be expressed as a fraction, it is rational.


Is 2 plus 7 irrational?

No because 2+7 = 9 which is a rational number


Is 5 plus the square root of 7 rational or irrational?

It is an irrational number because it can't be expressed as a fraction


Is 1 plus the square root of 7 rational or irrational?

The square root of any positive integer can only be a WHOLE NUMBER or IRRATIONAL, so the square root of 7 is irrational.On the other hand, the sum of a rational and an irrational number is always irrational.


If X is irrational and Y is rational then X plus Y is irrational.?

Yes.