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Topic: irrational numbers and pi
Replies: 5   Last Post: Apr 27, 1998 5:10 AM

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Michael Thwaites

Posts: 22
Registered: 12/6/04
Re: irrational numbers and pi
Posted: Apr 23, 1998 5:06 PM
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>A student wanted to know if the digits of an irrational number such as
>sqr(2) can be found as well. What a great question. I'm not sure I know
>the answer. Any thoughts?
>


I don't think so. If all of the digits of root(2) can be found together in
pi, then you could write pi = a + root(2)/b. Where a is the number up to
the start of the root(2) digits and b is some power of 10. That would make
pi irrational but no longer transendental since pi would be a root of the
equation (bX-a)^2-2=0.



Michael Thwaites <Michael.Thwaites@ucop.edu>






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