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1/(2 1/2 +1)+1/(3 1/2 +2 1/2 )+1/(4 1/2 +3 1/2 ).........1/(9 1/2 +8 1/2)

1/(21/2+1)+1/(31/2+21/2)+1/(41/2+31/2).........1/(91/2+81/2)

Grade:10

1 Answers

Arun
25763 Points
3 years ago
Dear Kamal
On multiplying by conjugate in Nr in Dr in each term
Then
We get-
sqrt(2) - 1 + sqrt(3) - sqrt(2) + sqrt(4) - sqrt(3) +.......+ sqrt(9) - sqrt(8)
= sqrt(9) - 1
= 3 - 1
= 2
Regards
Arun (askIITians forum expert)

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