Can the sum of two irrational numbers ever be a rational number?

Question

Mathematics

Hannah Bauer

29 October, 05:54

Can the sum of two irrational numbers ever be a rational number?

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Answers (1)

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Sadie House · Answer 1

Irrational numbers are numbers that can not be written as a ratio of two integers. (example: square root of 2). Rational numbers on the other hand can be written as a ratio, as decimal or percentage.

If X is a irrational number, than the number Y=1-X is also irrational and the sum of these two irrational numbers is: X+Y=X+1-X=1 is rational number.

So, the sum of two irrational numbers can be a rational number.