Question about non-trivial equation

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The discussion revolves around rewriting the expression root(3) - 1 and deriving a non-trivial equation for root(3) in terms of itself. Participants suggest manipulating the expression by multiplying by sqrt(3) to explore its properties. The conversation also addresses the implications of expressing root(3) as a ratio of natural numbers m and n, ultimately leading to a demonstration that root(3) is irrational. The key steps involve algebraic manipulation and understanding of irrational numbers.

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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 [itex]\frac{1}{\sqrt{3}} = ?[/itex]

Try multiplying the top and bottom by [itex]\sqrt{3}[/itex]

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 [itex]\frac{1}{\sqrt{3}} = ?[/itex]

Try multiplying the top and bottom by [itex]\sqrt{3}[/itex]

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

AM
 

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