Question

prove that root 2 us rational​

Answer 1

Step-by-step explanation:

Let root 2 be a rational no. where p and q are co-prime no.

root 2 =p/q

squaring on both side

2=p^2/q^2

2q^2=p^2

2 divide p^2 so it will divide p also

p=2m

p^2=4m^2

2q^2=4m^2

q^

2=2m^2 so here a contradiction root 2 is irrational