Question

show that 2+5root3 is irrational

Answer 1

let 2+5root3 be a rational no in the form of p/q

therefore, 2=-5root3

after transferring 5 from multiplicationto division

2/5= root3

2/5 is rational

but root3 is irrational

hence our assumption is wrong

therefore, it is an irrational no.