Root of 2 is rational or irrational?

Answer 1

Let's try a proof by contradiction (because it isn't rational). Try and follow along the best you can.

√2 = p/q

2 = p2/q2

2q2 = p2

This means that 2q2 (an even number) is equal to another number squared. But this means that p is even, because p2 is even, and only an even number sqaured is an even number. Lets replace p with 2b (because its twice a number because it's even).

IMMA DO THE THINGS THAT I WANNA DO, I AIN'T GOTTA THING TO PROVE TO YOU. I EAT MY CANDY WITH THE PORK AND BEANS!

TO BE CONTINUED