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A rational plus an irrational will always be irrational

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the answer to this question will be true
User Akalanka
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That's true.

In fact, suppose that x is irrational, and y is rational. If


x+y=z

and z is rational, then you have


x = z-y

But
z-y is the difference of two rational numbers, and the sum/difference of rational numbers is still a rational number.

This proves that the sum of a rational and an irrational number is still irrational.


User Nymous
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