Question

prove that 1/3+2root5 is irrational

Answer 1

Answer:

let us assume 1/3+2root5 is rational

now 1/3+2root5 is a/b where a is prime and b is not equal to 0

2root5=a/b-1/3=a-1b/3b

root5=a-1b/6b

but root5 is irrational

then there is contradiction

then1/3+2root5 is irrational no.