proof (1 Viewer)

[=)(=]

Could someone pls check my proof

 

[braintic]

Could someone pls check my proof
View attachment 38109

The contrapositive show be ... if sqrt(p) is rational then p is composite or 1.

 

[cossine]

Could someone pls check my proof
View attachment 38109

How do you know a rational perfect square is composite?

 

[=)(=]

isnt it because it would have a 2 factors at least that aren't 1, but I forgot to talk about the case where p is 1

 

[unofficiallyred12]

However, a square number by definition is a square of another integer, in this case u have no way of guaranteeing m/n is an integer.

 

[unofficiallyred12]

otherwise 1/4 would be a square number cos it's (1/2)^2

 

[cossine]

isnt it because it would have a 2 factors at least that aren't 1, but I forgot to talk about the case where p is 1

So how do you know p would have 2 factors at least that aren't 1?

 

[=)(=]

Ahh I get what you guys are saying, in that case I’m not to sure how to prove it

 

[cossine]

Ahh I get what you guys are saying, in that case I’m not to sure how to prove it

I found the proof on math stackexchange:

https://math.stackexchange.com/ques...prove-that-the-square-root-of-p-is-irrational

 

[=)(=]

cheers