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Prove root 3 is irrational |
| Answer» let √3 be rational √3=p/q, q not equal to zero, p and q are integers and Co prime √3 =p/qSquaring both sides p^2=3q^2 let it be first equation3 divides p^23 also divides p. P=3rSquaring both sides P^2=9r^2let it be second equation 9 divides p^29 also divides p. from 1 &23q^2=9r^2 3 is a common factor in p and qThis is contradiction. Hence √3 is irrational. | |