Question

prove that √6+√2 is an irrational number

Answer 1

Let √6+√2 is a rational num.
therefore...√6+√2=p/q where p and q are coprimes.
but we know that irrational number+irrational number is irrational number.
this is only possible if √6+√2 is irrational

Answer 2

let root6+root 2 be rational number.
root6+root2=a/b
squraing both the sides,
8+4root3=asquare/bsquare
here,root3 is irrational
so,the number is irrational...