The sum of a rational and irrational number must be an irrational number.
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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.
10.01 is a rational number