Saved Bookmarks
| 1. |
Proof root 3 is irrational |
| Answer» If possible let root 3 be rational.Then we can write root 3 = p/ q where p and q are co primes and q is not = 0.Now root 3 = p/ q Psquare = 3 qsquare P sq is a multiple of 3P is a multiple of 3 Let p = 3mP sq = 9m sq Q sq = 3m sq Q is a multiple of 3 Thus 3 is a common multiple of p and q This is a contradiction, since p and q are Co primes Therefore root 3 is a irrational | |