prove that 1/?2 is irrational.

Asked by  | 5th May, 2013, 06:41: PM

Expert Answer:

Answer :

Let us assume that 1/21/2 is rational.

Then it is of the form p/ q where pand q are co prime integers and q is not equal to zero

It implies  1/21/2 = p/ q

It implies q/ p =  21/2

It implies that 21/2 is rational

But this contradicts to the fact that  21/2 is irrational. So our supposition is wrong.

Hence  1/21/2  is rational

Answered by  | 5th May, 2013, 11:28: PM

Queries asked on Sunday & after 7pm from Monday to Saturday will be answered after 12pm the next working day.