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![[Post New]](/templates/default/images/icon_minipost_new.gif) 5 Apr 2008 22:01:54 IST
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Here is an algebraic approach:
r/p + s/q = 1
We know that r/p and s/q are both +ve so applying AM-GM, we get 1/2 >= root(rs/pq)
=> 1/4 >= rs/pq
=> pq >= 4rs
So least value of pq = 4rs
And hence least value of A = 1/2 pq = 2rs
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- August Kekule |
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