n-1-99-10-n-n-1-99-10-n-

Question Number 149322 by mathdanisur last updated on 04/Aug/21

$$\frac{\underset{\boldsymbol{{n}}=\mathrm{1}} {\overset{\mathrm{99}} {\sum}}\left(\sqrt{\mathrm{10}\:+\:\sqrt{\boldsymbol{{n}}}}\right)}{\underset{\boldsymbol{{n}}=\mathrm{1}} {\overset{\mathrm{99}} {\sum}}\left(\sqrt{\mathrm{10}\:-\:\sqrt{\boldsymbol{{n}}}}\right)}\:=\:? \\ $$

Commented by amin96 last updated on 04/Aug/21

$$? \\ $$

Commented by mr W last updated on 04/Aug/21

$$\sqrt{\mathrm{2}}+\mathrm{1} \\ $$

Commented by mathdanisur last updated on 04/Aug/21

$${Solution}\:{Ser},\:{Thank}\:{You} \\ $$

Commented by mr W last updated on 04/Aug/21

$${see}\:{Q}\mathrm{149342} \\ $$

Commented by mathdanisur last updated on 04/Aug/21

$${Thanks}\:{Ser} \\ $$

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