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Why is the sum of two irrational numbers not always irrational?
Wiki User
∙ 8y ago
Because the irrational parts may cancel out.
For example, 1 + sqrt(2) and 5 - sqrt(2) are both irrational but their sum is 1 + 5 = 6.
Wiki User
∙ 8y ago
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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.
Are the sum of two rational numbers rational or irrational?
They are always rational.
If you add two irrational numbers do you get an irrational number?
Not necessarily. The sum of two irrational numbers can be rational or irrational.
What is the sum of two irrational numbers?
It may be a rational or an irrational number.
Can 2 irrational add to an irrational number?
Yes. The sum of two irrational numbers can be rational, or irrational.
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 two rational numbers is it rational or irrational?
Such a sum is always rational.
The sum of two irrational is always irrational?
No. In fact, the sum of conjugate irrational numbers is always rational.For example, 2 + sqrt(3) and 2 - sqrt(3) are both irrational, but their sum is 4, which is rational.
Are the sum of two rational numbers rational or irrational?
They are always rational.
Is the sum of any two irrational number is an irrational number?
The sum of two irrational numbers may be rational, or irrational.
If you add two irrational numbers do you get an irrational number?
Not necessarily. The sum of two irrational numbers can be rational or irrational.
Sum of two irrational numbers?
Can be rational or irrational.
Is the sum of two irrational numbers irrational?
not always. nothing can be generalized about the sum of two irrational number. counter example. x=(sqrt(2) + 1), y=(1 - sqrt20) then x + y = 1, rational.
What is the sum or difference of the any two irrational numbers?
The sum or the difference between two irrational numbers could either be rational or irrational, however, it should be a real number.
What is the sum of two irrational numbers?
It may be a rational or an irrational number.
Can 2 irrational add to an irrational number?
Yes. The sum of two irrational numbers can be rational, or irrational.
Is the sum of two POSITIVE irrational numbers ALWAYS irrational?
No. Two irrational numbers can be added to be rational. For example, 1/3 + 2/3 = 3/3. 1/3 and 2/3 are both irrational, but 3/3 = 1, which is rational.
