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? Другие результаты с сайта www.reddit.com

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17 мар. 2013 г. · this is a general way to do it: √2−√2=√x+√y. then 2−√2=2√xy+x+y and then make the rational parts equal to the rational parts as such: 2=x+y. Is √2√2 rational? [duplicate] - Math Stack Exchange Show that 2−√2 is irrational - Math Stack Exchange Show that √2+√2+√2... converges to 2 [duplicate] why does $\sqrt2 = \frac{2}{\sqrt2} - Math Stack Exchange Другие результаты с сайта math.stackexchange.com

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

27 мар. 2017 г. · Suppose that √2 is rational: √2=a/b, where a and b are positive integers and the fraction is irreducible. Why is the sqrt(2) raised to the sqrt(2) raised to the sqrt ... - Quora Is [math]\sqrt{2}^\sqrt{2}[/math] rational or irrational? - Quora Другие результаты с сайта www.quora.com

6 окт. 2015 г. · Think of it as 1*sqrt2+1*sqrt2 Then it's obvious that the answer should be 2sqrt2.

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 ...

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... 2 is the positive number whose square is 2, tht is it that satisifies. x2 = 2. hence. sqrt(2) sqrt(2) = 2. Thus. 2/sqrt(2) = sqrt(2) sqrt(2)/sqrt(2) = sqrt(2).