Question

prove that 5 root 2 is an irrational number given that root 2 is irrational number​

Answer 1

Given: √2 is irrational no

To prove: 5√2 is irrational no

Sol:

let 5√2 be rational no

that is 5√2 =p/q

5√2*q=p

as it is given that √2 is irrational so any no mutiplied by by irrational no is irrational so 5√2q is irrational and irrational no is not equal to rational no

5√2q=p

irrational no is not equal to rational no

so 5√2 is irrational no

hence proved..