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when X is even number,it's easy to prove
but how about the condition which X is odd number?
I have no idea of this
but how about the condition which X is odd number?
I have no idea of this
no,i may add despite 1,4,9,16,25...etc[itex]\sqrt{4}[/itex] is irrational?
yes, but how to prove?So in other words...
[tex]\sqrt{x}[/tex] is irrational iff x=/=n^2 for n belonging to the integer set.
Fundamental theorem of arithmetic. Assume p^2/q^2=x with gcd(p,q)=1, and see what has to divide what.