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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.

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8y ago
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14y ago

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

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Q: Why an irrational number plus an irrational number equal a rational?
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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.


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 a rational plus an irrational equals a rational?

No. A rational plus an irrational is always an 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.


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

It is irrational.


Is 15 plus 0.07 a rational or irrational numer?

The sum is a rational number.