Question

Show that 3√2 is irrational.

Answer 1

Answer:

we know that root 2 is irrational

and 3 is rational andproduct ofrational and irrational is irrational

Answer 2

Step-by-step explanation:

let 3√2 is a rational no.

then3√2=p/q

p=3√2q

squaring both side

p²=12q²

p² is a multiple of 12

so p/q is have not a higher common factor equal to 1

so fraction is not equal to integer

our assumption is wrong

3√2 is not a rational no.

so3√2 is a rational no.☺☺✌✌✌