Question

how to prove √12 is irrational?

Answer 1

this is an solution

very easy solution

Answer 2

Step-by-step explanation:

suppose root 12 is rational

root 12=p/q (p and q are Co primes )

root 12q =p

12q^2=p^2 ('s. o.b.s)

12 divides q^2

12 divides q

q=12c

q^2=144c^2

p^2=12c^2

12 divides p^2

12 divides p

which is a contradiction

therefore...root 12 is irrational