Question

Prove that 2-√3 whole divided by 5 is irrational number

Answer 1

Step-by-step explanation:

let (2-√3)/5 is a rational number

and rational number is in p/q form

so , (2-√3)/5 = a/b

2 - √3 = 5a/b

-√3 = 5a/b - 2

-√3 = (5a - 2b)/b

√3 = -(5a - 2b)/b

-(5a - 2b)/b is a rational number

but √3 is a irrational number

so , our assumption us wrong

(2-√3)/5 is a rational number