Question

prove that 3√2/5 is irrational

Answer 1

let it 3 root 2 /5 be a rational no.
then 3 root 2/5=p/Q
3 root 2=5p/Q
root 2=5p/3q
LHS is an irrational no.
LHS NOT=RHS
this contradiction is due to our wrong assumption that 3 root 2/5is a rational no.
therefore 3 root 2/5is an irrational no.

Answer 2

Answer:

Assume that 3 + √2/5 is a rational no.

= 3 + √2/5 =a/b

= 3 +√2 = 5a/b

√2 = 5a/3b

Since 5,a and 3,b are integers,5a/3b is rational ,so √2 is rational.

But this contradicts the fact that √2 is irrational.

so, we conclude that 3 +√2/5 is irrational no.