example for sum of rational numbers is 1/3 + 1/5 Example for sum of irrationals is Pi + e where e is is base of natural log Another is square root of 2 + square root of 3.
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The sum of a rational and irrational number must be an irrational number.
Such a sum is always irrational.
The proposition is not true.pi and -pi are both irrational. But their sum, = 0, is rational.
Yes
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.