Question

show that 2+√3 is an irrational.

Answer 1

let that 2 +√3 is a rational no.

then 2 must be rational.

(2+√3-2) 【difference of rational is rational】

=√3 is rational.

but this is contradiction fact that √3 is rational

the contradiction arises by assuming 2+√3 as a rational.

hence (2+√3)is must be rational.

hope it help you


@rajukumar☺