Best proof book for someone struggling to prove [math]\sqrt{2}[/math] irrational?
I learn fast though
>>9072884
Discrete math with ducks
>>9072884
>[math]\sqrt{2}[/math]
>irrational
No such thing.
>>9072884
>>9072892
Did you know that the author of that book also wrote a textbook on elementary analysis?
She called it:
Quackulus.
>>9072884
>>9072884
>>9072884
Assume sqrt2 is rational, hence expressible in p/q.
1^2 + 1^2 = p^2/q^2 = 2
p^2 = 2q^2
Now we know p/q is the most simplified fraction form of sqrt2 and both p and q must be integers.
q^2 = p^2/2
q^2 is even so p^2 must be an even number. Now if p is an even number we can express p as pp.
p = 2pp
4pp^2 = 2q^2
2pp^2 = q^2
We see now that q^2 is even too, hence q must be even. But if both p and q are even then they cannot be the most simplified fraction. Hence sqrt2 cannot be a rational number
>>9072931
I meant p^2 is even not q^2 in the fifth line and p must be even not p^2
>>9072931
>>9072934
He didn't ask you to prove [math]\sqrt{2}[/math] was irrational, dimwit.
[math]\sqrt2\in\emptyset[/math]
>>9074341
there's a request thread for wildburger?!
>>9072921
You are a terrible person.