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