Can you get a rational number by adding irrational decimals?
Answered by Quora contributor, Manjunath Subramanya Iyer, Math teacher
Yes.
Two irrational numbers are
2 + √3
5 - √3
The square root of three is an irrational number. Adding a number like two or subtracting from five changes nothing. See note below.
Their sum
(2 + √3) + (5 - √3) = 7
Seven is rational. How do we know that? 49/7 = 7
Note:
From mathisfun.com – An irrational number is a real number that cannot be made by dividing two integers. Definition of an integer: it has no fractional part. “Irrational” means “no ratio” [Latin comes in handy.], so it isn’t a rational number. Its decimal also goes on forever without repeating. Example: π is an irrational number, as it cannot be made by dividing two integers. Same for √3.
Answered by Quora contributor, Manjunath Subramanya Iyer, Math teacher
Yes.
Two irrational numbers are
2 + √3
5 - √3
The square root of three is an irrational number. Adding a number like two or subtracting from five changes nothing. See note below.
Their sum
(2 + √3) + (5 - √3) = 7
Seven is rational. How do we know that? 49/7 = 7
Note:
From mathisfun.com – An irrational number is a real number that cannot be made by dividing two integers. Definition of an integer: it has no fractional part. “Irrational” means “no ratio” [Latin comes in handy.], so it isn’t a rational number. Its decimal also goes on forever without repeating. Example: π is an irrational number, as it cannot be made by dividing two integers. Same for √3.
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