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September 2000

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sqrt (14)

We can check that:
sqrt ( 3 - sqrt 5 ) = sqrt (5/2) - sqrt(1/2),
sqrt ( 4 + sqrt 7 ) = sqrt (7/2) + sqrt(1/2),
sqrt (6 - sqrt 35 ) = sqrt ( 7/2) - sqrt (5/2),
and their sum is
2 sqrt ( 7/2) = sqrt (14).


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