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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.
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Earn +20 ptsQ: Is the sum of two POSITIVE irrational numbers ALWAYS irrational?
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Continue Learning about Algebra
Is the sum of two rational numbers is it rational or irrational?
Such a sum is always rational.
The sum of a rational number and an irrational number?
Such a sum is always irrational.
Sum of two irrational numbers?
Can be rational or irrational.
Is 1 plus the square root of 7 rational or irrational?
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.
Is the sum of two irrational number is always irrational?
No. For example, -root(2) + root(2) is zero, which is rational.Note that MOST calculations involving irrational numbers give you an irrational number, but there are a few exceptions.
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