28 июн. 2016 г. · It is irrational (in fact it is transcendental). This can be shown using the Gelfond-Schneider theorem. By the theorem, where a and b are ... Show that 2−√2 is irrational - Math Stack Exchange Proof that $\sqrt{2}$ is irrational - Mathematics Stack Exchange Другие результаты с сайта math.stackexchange.com

16 сент. 2016 г. · √2√2 is irrational. ∞√2 is rational. Explanation: While I haven't found a proof that √2√2√2 is irrational, here are answers to the first and third parts.

24 мар. 2020 г. · Is this proof right? Let sqrt(2)^sqrt(2) be a rational number q/p, where p, q are all integers, p, q are nonzero, and the gcd of p, q is 1. What is 2^(sqrt(2)) ? : r/math - Reddit How to prove that √2 ** √2 is irrational number? : r/mathematics Does this proof of irrationality of square root of 2 have a flaw? How do i prove that sqrt(5)+sqrt(2) is irrational? - Reddit Другие результаты с сайта www.reddit.com

12 нояб. 2014 г. · And thus, we conclude 1+\sqrt2–1=\sqrt2 (about 1.4142) is irrational. So √2√2 is transcendental. √2√2 (about 1.6325 ) is irrational. How to prove that [math]\sqrt{2}^{\sqrt{2}}[/math] is irrational Why is the sqrt(2) raised to the sqrt(2) raised to the sqrt ... - Quora Is √2÷2 a rational number or irrational? - Quora Is √2√2 a rational or irrational number? - Quora Другие результаты с сайта www.quora.com

31 июл. 2013 г. · We know that √2√2 is a transcendental number by the Gel'fond-Schneider's theorem. I've tried to prove that √2√2 is an irrational number ...

The Gelfond–Schneider constant or Hilbert number is two to the power of the square root of two: 2√2 ≈ 2.6651441426902251886502972498731. Properties · Hilbert's seventh problem

In case you are dying to know whether sqrt(2)^sqrt(2) is rational or irrational, you can be rest assured that it is irrational (actually transcendental).

15 окт. 2017 г. · See explanation. The number sqrt(2) is irrational. The proof can be as follows: Let's assume that sqrt(2) is rational.

9 янв. 2020 г. · After simplification we get (2+√2)(2−√2)=2. The number 2 is a rational number then (2+√2)(2−√2) is a rational number.

The square root of 2 (approximately 1.4142) is the positive real number that, when multiplied by itself or squared, equals the number 2. Decimal value · Proofs of irrationality · Representations