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| 1. |
Prove that root 5 is an irrational number. |
| Answer» Root5 =p/qSquaring both sideRoot5^2=P^2/q^2(Root se square cancel)5=P^2/q^2(exachange the place of 5andq^2)q^2=p^2/5(p^2 is divisble by 5 so p is also divisble by 5Lets p^2=5x)q^2=(5x)^2/5q^2=25x/5q^2=5Xq^2/5=Xq^2 is divible by 5 so q is also divisble by 5 | |