25 сент. 2013 г. · ... Product of two irrational number need not always be irrational ... So, the product of two irrational numbers is not always irrational.

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

12 июн. 2012 г. · The short answer to your question is that is not necessarily true. For instance, √2,√2−1,1−√2 are all irrational but √2+(1−√2)=1∈Q.

6 нояб. 2014 г. · Any nonzero rational number times an irrational number is irrational. Let r be nonzero and rational and x be irrational.

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.

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 ...

28 окт. 2013 г. · I proposed that 1 + an irrational number is always irrational, thus if I could prove that 1 + irrational number is irrational, then it stood to ...

13 июн. 2011 г. · Theorem: If q≠0 is rational and y is irrational, then qy is irrational. Proof: Proof by contradiction, we assume that qy is rational. Therefore ...

22 мар. 2022 г. · The sum of two irrational numbers can be irrational, and in fact, the sum of an irrational number and itself must be irrational.

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.