Question about non-trivial equation

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The discussion revolves around rewriting the expression root(3) - 1 and using it to derive a non-trivial equation for root(3) in terms of itself. Participants suggest manipulating the expression, specifically by considering the fraction 1/sqrt(3) and multiplying by sqrt(3) for simplification. The conversation also touches on representing root(3) as a ratio of natural numbers m and n, and using this representation to demonstrate that root(3) is irrational. Overall, the focus is on algebraic manipulation and understanding the implications of these transformations. The thread seeks clarity on these mathematical concepts and their applications.
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Q: write roo(3)-1 in another way,and use this to produce a non-trivial equation for root(3) in terms of itself..

I don't ever know what it means?
Any hints appreciated..

thanx
 
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flying2000 said:
Q: write roo(3)-1 in another way,and use this to produce a non-trivial equation for root(3) in terms of itself..

So \frac{1}{\sqrt{3}} = ?

Try multiplying the top and bottom by \sqrt{3}

Other than that, I am not sure what the question would be asking.

AM
 
The following is the rest of the whole question..

1)write root(3)-1 in another way,and use this to produce a non-trivial equation for root(3) in terms of itself

2)suppose m,n(m,n is natural numbers) are such that m/n=root(3),use (1) to write root(3)as another combination of m and n.
3)use (2) to show that root(3) in not rational.

Any hints appreciated..

Andrew Mason said:
So \frac{1}{\sqrt{3}} = ?

Try multiplying the top and bottom by \sqrt{3}

Other than that, I am not sure what the question would be asking.

AM
 
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