Question

simplify :


(i) 1 / 2 +√5 + 1/√5+√6 + 1/√6+√7 + 1/√7+√8

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Answer 1

1/2+(√5+1)/√5+(√6+1)/√6+(√7+1)/√7+√8

=1/2+(5+1)/√5+(6+1)/√6+(7+1)√7+√8

=1/2+6/√5+7/√6+8/√7+√8

=(√210+2√42+2√35+2√30+2√1680)/2√210