25 сент. 2013 г. · I saw this question where I had to prove/disprove that: Ques. Product of two irrational number is irrational. I tried 'Proof by Contraposition'.

28 дек. 2013 г. · The product of two irrational numbers rational? For example, multiplying √ 2 by any nonzero rational multiple of √ 2 or its inverse we obtain a rational ...

24 окт. 2014 г. · It shows that every positive irrational number is the product of two irrational numbers with a very, very simple proof.

31 мая 2016 г. · Let q be a rational number other than zero. Then b = q / a is irrational. However, a * b equals a * q / a which is just q, a rational number.

2 мая 2020 г. · Sometimes two irrationals multiplied together is rational-- such as √327 and √14 (which multiplied together is 4)... or π19 and 7π (which ...

22 нояб. 2023 г. · If you want to show that there exist two irrationals α,β such that their sum (or product if you prefer) is irrational, you can do that by counting arguments.

6 нояб. 2018 г. · The product of any two irrational numbers is irrational. Formally it can be written as: (∀x∀y)((x∉Q∧y∉Q)→((x∗y)∉Q))

12 июн. 2014 г. · This gives you two equations which you can solve to find k,l. If k,l are not integers then your problem has no solution; but it turns out ...

30 дек. 2014 г. · Conclusion: The product of two irrational numbers can be either irrational or rational. Share.

5 окт. 2015 г. · So there are plenty of couples of irrational numbers with both their sum and their product being rational numbers: for instance, (−√2,√2),(1−√52 ...