10 июл. 2020 г. · The sum of any rational number and any irrational number is irrational. I am currently a beginner at discrete math and I am still getting used ...

28 окт. 2013 г. · Look at the contrapositive: If x is rational, then x+n is rational. Clearly this is a true statement.

23 мая 2018 г. · The thing to realize is that the sum/difference/product/quotient of two rational numbers are always rational (if you aren't dividing by zero).

6 сент. 2015 г. · Hence, rational. The sum of two irrational numbers may be irrational. Consider 2+√2 and 3+√2. Both are irrational, and so is their sum 5+2√2.

12 июн. 2012 г. · 2 Sum of a rational and an irrational is always irrational. Proof: Let the rational number be of the form pq, where p∈Z and q∈Z∖{0} while ...

10 февр. 2016 г. · The sum of two rationals is rational, therefore, by induction the sum of a finite number of rationals is rational, but induction can't prove anything about ...

24 дек. 2010 г. · An irrational number is a "gap" inside the rationals. The decimal expansion of any irrational number is an infinite sum converging to it. It ...

31 дек. 2014 г. · As stated, the question is meaningless. The sum of all irrational numbers is infinite, and infinity is not a number. (A more interesting ...

17 мар. 2015 г. · Claim: Suppose a is rational and b is irrational. Then a+b is irrational.

7 июл. 2021 г. · The sum of 2 irractional numbers as a whole can be rational. For example, an irrational number a and it's negative counterpart −a have a sum of zero and so ...