Question

prove that 2√3+√5 is an irrational number​

Answer 1

Answer:

let us assume that 2√3+√5 is rational

W.K.T Rational number is in form p/q where p/q is are co-primes

2√3+√5=p/q

2√3+p/2q=√5

here2√3+p/2q is rational

but√5 is irrational

LHS≠RHS

here our assumption leads to contradictory

→2√3+√5 is irrational