Question

prove that 2√2 is an irrational number​

Answer 1

Answer:

hope this will help you

Answer 2

Answer:

let 2√2 be an rational number, so it can be expressed in p/q form where q is not equal to zero & p&q are co-prime number So they both have only one common factor that is 1

now

2√2=p/q

√2=p/2q

since p/2q is rational number so, √2 is rational

But this comtradicts the fact that √2 is irrational

so we conclude that 2√2 is irrational number