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Earn +20 ptsQ: Is the sum of a rational number irrational?
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Which number can be added to a rational number to explain that the sum of rational number and an irrational number is irrational?
Any, and every, irrational number will do.
Is the sum of any two irrational number is an irrational number?
The sum of two irrational numbers may be rational, or irrational.
What is the classification of the sum of a rational number and an irrational number?
It is always an irrational number.
Is the sum of an irrational number and rational always irrational?
Yes.
Can you add an irrational number and a rational number?
Let `a` be a rational number and `b` be an irrational number,assume that the sum is rational. 1.a +b =c Where a and c are rational and b is irrational. 2.b=c-a Subtracting the same number a from each side. 3.b is irrational c-a is a rational number we arrived at a contradiction. So the sum is an irrational number.
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