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सिद्ध कीजिये कि \(\frac1{\sqrt2+1}+\frac1{\sqrt3+\sqrt2}+\frac1{\sqrt4+\sqrt3}\)+......+\(\frac1{\sqrt9+\sqrt8}\) = 2

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

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L.H.S. =   \(\frac1{\sqrt2+1}+\frac1{\sqrt3+\sqrt2}+\frac1{\sqrt4+\sqrt3}\)+......+\(\frac1{\sqrt9+\sqrt8}\) 

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