Crazy Numbers

 

 

 

 

 

 

 

 

 

 

 

 

 

 

The above pictures shows screenshot of multiple calculations done for the square root of 2^6^2^1^4^4. The answer are the integers themselcves arranged in order as 262144. However, author tried the number with the last exponential having integer values from 1 to 9, and the answer still is 262144. That violates the laws of mathematics. And in one case when square root of 2^6^2^5 is taken, the result is infinity. 

Author wants to thank Memers and Trollers whose work couldn't be cited as they had calculated the square root for 2^6^2^1^4^4 having same number as 262144. Author tried the same with other intergers and some the result is discussed above. This shows us the true beauty of mathematics regarding the distribution of number inside a radical in it's exponential form. Author's task now relies on studying such distribution. 

Author: Arjun Dahal

arjundahalard.thereason@gmail.com