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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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Earn +20 ptsQ: Is the sum of two irrational number is 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.
Can the sum of two irrational numbers be a rational number?
Yes
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.
Is 10x 3.14 irrational?
The product of two rational numbers, as in this example, is always RATIONAL.However, if you mean 10 x pi, pi is irrational; the product of a rational and an irrational number is ALWAYS IRRATIONAL, except for the special case in which the rational number is zero.
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