Question

show that √2-3√5 is an irrati
onal number​

Answer 1

In this question given. we know that root 5 is irrational because it's value is unending. But if we solve this by the given equation:

                root 2- 3 x (root 5)

if we multiply 3 by root 5 then we need to multiply 3 to it's every digit of the root 5's actual value. thus we can say that the result produced would be irrational. hence  ( 3 x root 5) = Irrational

let's say that ( 3 x root 5) = I then

root 2 - I would also be irrational.

This was an practical statemental answer.