Question

If √ab is an irrational number then prove that √a+√b is an irrational number

Answer 1

Step-by-step explanation:

let's assume that it's rational...

then root a + root b =a/b(where a&b are integers )

we know that root ab is irrational....

and thus contradicts our assumption that root a+root b is rational....

so, we conclude that root a+root b is an irrational number...

hope it helps..!!!