Show that  is irrational.

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

Let us assume that is a rational i.e.

Or,  here  and 3 both are rational and we know that the difference of two rational is always rational.

this is a contradiction to our assumption.

hence, is not rational, i.e. it is an irrational number

Answered by  | 4th Jun, 2014, 03:23: PM