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Is the sum of an irrational number and rational always irrational?
Yes.
What is the classification of the sum of a rational number and an irrational number?
It is always an irrational number.
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.
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.
Is the sum of a rational and irrational number rational or irrational?
It is always irrational.
The sum of a rational number and an irrational number?
Such a sum is always irrational.
The sum of rational numbers and an irrational number?
It is always an irrational number.
Is the sum of an irrational number and rational always irrational?
Yes.
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 a rational and irrational number never an irrational number?
Wrong. It is always an irrational number.
What is an irrational plus two rational numbers?
Since the sum of two rational numbers is rational, the answer will be the same as for the sum of an irrational and a single rational number. It is always irrational.
Is the sum of a rational and irrational number always irrational?
Yes, that is so.
The sum of a rational number and an irrational number is?
The sum of a rational and irrational number must be an irrational number.
May the sum of a rational and an irrational number only be a rational number?
No. In fact the sum of a rational and an irrational MUST be irrational.
Why will the sum of an irrational number and any other number always be irrational?
The proposition is not true.pi and -pi are both irrational. But their sum, = 0, is rational.
What is the sum of a rational number and irrational number?
The value of the sum depends on the values of the rational number and the irrational number.
