BdMO National Junior 2006/6

Discussion on Bangladesh Mathematical Olympiad (BdMO) National
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samiul_samin
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BdMO National Junior 2006/6

Unread post by samiul_samin » Sat Feb 24, 2018 12:34 am

Problem no.$6$

$(\sqrt 5+\sqrt 6 +\sqrt 7)(\sqrt 5+\sqrt 6-\sqrt 7)(-\sqrt 5-\sqrt 6+\sqrt 7)(-\sqrt 5+\sqrt 6+\sqrt 7) =?$

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samiul_samin
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Re: BdMO National Junior 2006/6

Unread post by samiul_samin » Sat Feb 24, 2018 12:38 am

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Use $a^2-b^2=(a+b)(a-b)$
Answer
$104$
Problem Source
AIME 1986/2
Solution Source

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