#F
(10/√5+√6)+(12/√6+√7)+(14/√7+√8) =
= 10(√5-√6)/(5-6) + 12(√6-√7)/(6 -7) + 14 (√7 - √8)/(7 -8)
= 10(√5-√6)/ (-1) + 12(√6-√7)/(-1) + 14 (√7 - √8)/(-1)
= - 10(√5-√6) - 12(√6-√7) - 14(√7 - √8)
= -10√5 + 10√6 - 12√6 + 12√7 - 14√7 + 14√8
= -10√5 - 2√6 - 2√7 + 14 (2√2)
= -10√5 - 2√6 - 2√7 + 28 √2
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#F
(10/√5+√6)+(12/√6+√7)+(14/√7+√8) =
= 10(√5-√6)/(5-6) + 12(√6-√7)/(6 -7) + 14 (√7 - √8)/(7 -8)
= 10(√5-√6)/ (-1) + 12(√6-√7)/(-1) + 14 (√7 - √8)/(-1)
= - 10(√5-√6) - 12(√6-√7) - 14(√7 - √8)
= -10√5 + 10√6 - 12√6 + 12√7 - 14√7 + 14√8
= -10√5 - 2√6 - 2√7 + 14 (2√2)
= -10√5 - 2√6 - 2√7 + 28 √2