Question

Prove that 5+√3 is an irrational number​

Answer 1

let 5+√3 a rational no.

so ,

5+ √3 = a/b

√3 = a/b-5

{ a/b - 5 } is an rational no.

so √5 is also rational no.

but this is the fact that √5 is a international no.

our assumption is wrong

5+√3 is an Irrerational no.