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You are not logged in. #1 20121218 04:43:43
Prove √5 is irrational...As the subject says, can anybody prove that route 5 is irrational? #2 20121218 05:51:05
Re: Prove √5 is irrational...Let's assume that the opposite is true, that is that square root 5 is rational. This would mean it can be written in the form p/q, where gcd(p,q)=1. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #3 20121218 06:03:50
Re: Prove √5 is irrational...hi Stefy, You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #4 20121218 06:05:17
Re: Prove √5 is irrational...If p weren't divisible by 5 then neither would be p^2. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #5 20121218 06:07:12
Re: Prove √5 is irrational...why? You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #6 20121218 06:12:28
Re: Prove √5 is irrational...This can be shown by assuming that p isn't divisible by 5 and then going through 4 cases p=5k+1,5k+2,5k+3,5k+4 and squaring p in each case to see that the square of p is respectively 1, 4, 4, 1 in each case. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #7 20121218 06:22:00
Re: Prove √5 is irrational...Ok. That'll do me. Thanks. You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #8 20121218 06:29:19
Re: Prove √5 is irrational...Don't mention it! The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #9 20121218 08:42:37
Re: Prove √5 is irrational...Thanks a lot, that is great help. #10 20121218 08:50:53
Re: Prove √5 is irrational...You're welome! The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #11 20121218 22:38:41
Re: Prove √5 is irrational...Jackme12, welcome to the forum. Sorry if I was a bit late in greeting ya. Anyways, I cannot prove yet that route 5 is irrational 'cause I am just too young to learn irrational numbers like those. 246 pages on Prime Numbers Wiki (+1) 