Question

how to prove tgat 2root 3 minus 1 is irrational

Answer 1

let 2√3-1 is a rational number
2√3-1= p/q
hcf of p.q is 1
2√3-1=p/q
2√3=p/q-1
√3= p/3q
squaring on both sides
(√3)²= (p/3q)²
3= p/9q
p =3/9q
p= 1/3 q
q= 9/3p
q=3/p

2√3-1 is a rational number
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