4:(2) Answer=
If possible let 3?5 is rational and can be expressed in the form p/q and co-prime
Now,
3?5 =p/q
(3?5)^2 = (p/q)^2
15q^2=p^2. ......(1)
Therefore ,15 is factor of p^2
Also, 15 is factor of p .
Let , p= 15m
From eq ( 1)
15q^2 = ( 15m)^2
q^2 = 15m^2
Therefore , 15 is factor of q^2
also, 15 is factor of q .
This contradict our accumption that 3?5 is rational .
Therefore , 3?5 is irrational
