Sorry, i guess the correct statement would be any whole number squared..
18^1/2 --> square this
= 18
= 9x2
= 3x3x2 --> all odd exponents
7^1/3 --> squaring this would result a fraction in the exponent.
thus this proof wouldn't be aplicable as a fraction is nor even nor odd.
pi cannot be...
Thanks for the explanation but unfortunately it isn't what I am looking for. Let me try to explain it clearer.
Say you have a number (n), any number and you want to know if it is rational or irrational. My theory is that if you square this number (n), then reduce it to its prime factors, those...
Thank you all for your replies,
Eval, if i square my number "n" my prime factors = p^c1, p^c2, p^c3 ... will all be raised to the power of 2 as well. That part I got.
I know that a prime factor raised to a odd power should be an irrational number, after the number "n" has been squared. I am...
I have a theory that i need to prove but I am not quite sure how to mathematically prove that it is true.
Theory: When you square a rational number, each of the prime factors has an even exponent.
For example,
10 --> If i square 10, which is a rational number,
=10^2
=(5^2 x 2^2)...