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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.
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Earn +20 ptsQ: Why does a rational number plus an irrational number equal an irrational number?
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Continue Learning about Algebra
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.
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
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