Question

prove that 3+root 5 is irrational number​

Answer 1

This is your answer...

Answer 2

let us assume that ,

3+ root 5 is a rational number

therefore,

3+ root 5 = p/q

where p and q are integers , q is not equal to zero

by solving the equation,

3+root 5 = p/q

root 5 = p/q - 3

we know that root 5 is irrational

irrational is not equal to rational

so there occurs controversy that our assumption is wrong

so 3+root 5 is irrational