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Math Problem.


ghost's Avatar
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Hey guys, im stuck on some homework and i was wondering if anyone knew a proof that demonstraights the irrationality of the square root of three. The way im thinking about it is all rational numbers can be made into a fraction right?

(if someone could get me the keypad code to make a square root sign that would be sweet. i'll show how square root of 2 is proved. alt+0+?)


ghost's Avatar
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well, for one, its a never ending decimal, thus making it irrational.


ghost's Avatar
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i know but. to set up a proof. like. square root of 3. given square root of 3 = a/b property of something about fractions


ghost's Avatar
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square root of 3 = 1.73205081

1.73205081 squared = 3.00000001

3.00000001 != 3

That's about all I can contribute.


ghost's Avatar
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i like that point placebo. i'll definatly ask about that. heres the conclusion i've come to (cus i know u all are on the edge of your seats): sqrt 3 = a fraction of intergers in simplest terms (a^2/b^2) a^2=3b^2 therefore a^2 must be divisible by 3 and 9

b^2=a^2/3 therefore b^2 is divisible by 3… which means a^2/b^2 isnt in lowest terms! which is a contradiction.