Let's prove that there are two irrational numbers, call them \(a\) and \(b\), such that \(a^b\) is a rational number! And let's do it in a tweet.
Twitter proof
Twitter proof:
— Mathspp (@mathsppblog) July 23, 2020
Let a=b=√2. If a^b is rational then there is nothing to be done. Assume a^b is irrational. Redefine a=√2^√2. Notice how a^b = (√2^√2)^√2 = (√2)^2 = 2 which is clearly rational. QED.https://t.co/3sFinyzJwu
Do you have an idea for a twitter proof? Let me know in the comments below!
Become a better Python 🐍 developer 🚀
+35 chapters. +400 pages. Hundreds of examples. Over 30,000 readers!
My book “Pydon'ts” teaches you how to write elegant, expressive, and Pythonic code, to help you become a better developer. >>> Download it here 🐍🚀.
