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Marius Mainea
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Location: Gaesti (Dambovita)

Identitate cu parte intreaga (2)

Post by Marius Mainea »

Demonstrati ca \( [\sqrt{n-1}+\sqrt{n}+\sqrt{n+1}]=[\sqrt{9n-2}] , n\in\mathbb{N^{\ast}} \)

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Marius Mainea
Gauss
Posts: 1077
Joined: Mon May 26, 2008 2:12 pm
Location: Gaesti (Dambovita)

Post by Marius Mainea »

indicatie :
Se arata ca \( \sqrt{9n-1}<\sqrt{n-1}+\sqrt{n}+\sqrt{n+1}<\sqrt{9n} \)
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