Saved Bookmarks
| 1. |
Prove that root over 2 is an irrational number |
|
Answer» Suppose √2=p/q and √2 is a RATIONAL NUMBER 2=p^2/q^2 2q^2=p^2 As 2 divides 2q^2 , 2 divides p^2 , 2 divides p p/2=m p=2m (2m)^2=p^2 (2m)^2=2q^2 2m^2=q^2 As 2 divides 2m^2 , 2 divides q^2 , 2 divides q Thus p and q have a common factor 2.But this contradicts p and q have no common FACTORS(except 1).Hence our assumption is wrong.√2 is not a rational number.√2 is a irrational number √2-Irrational number(Proved) Hope this helps you.Please mark this the brainliest |
|