Question

Proove that root 3 is irrational

Answer 1

Let us take that root 3 is rational
Then, root 3 = p/q where (p,q)=1 and p,q not = 0
Now, squaring both sides 
root 3 square = p/q whole square
3q square= q square
3 divides q sqaure
so, 3 divides q
and 3 is a factor of q
now, q=3m
root 3 p= 3m
squaring both sides
3p square= 9m sqaure
p sqaure=3m square
3 divides p square
3 divides p
3 is a factor of p
But this is a contradiction to the the fact that (p,q)=1
Hence, our suppostion is wrong
root 3 is irrational