Question

if x is ratiinal ,√y is irrational .prove that x+√y is irrational​

Answer 1

Step-by-step explanation:

Let assume X +√y be rational no.

then x+√y=p/q (Where p and q are integers and co-prime)

=> √y= p/q- x => √y is rational no.

but, it contradict the fact √y is. irrational (I. e. given in question)

hence, contradiction ,so x+√y is irrational.

Thanks☺