Thread: Proving something is irrational

Here's my problem...

Assume we know that √2 is irrational,

let x,y be any rational number such that y is not 0. Show that x + y√2 is irrational

Having a bit of trouble understanding proof and irrationals at uni

Originally Posted by lisa21a

Here's my problem...

Assume we know that √2 is irrational,

let x,y be any rational number such that y is not 0. Show that x + y√2 is irrational

Having a bit of trouble understanding proof and irrationals at uni

If where then .
This is impossible.