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Question Number 8353 by Nayon last updated on 09/Oct/16

(√(240+2(√(14319))))=?

$$\sqrt{\mathrm{240}+\mathrm{2}\sqrt{\mathrm{14319}}}=? \\ $$

Answered by ridwan balatif last updated on 09/Oct/16

(√((111+129)+2(√(111.129)))), remember :(√((a+b)+2(√(ab))))=(√a)+(√b)  (√(111))+(√(129))  by using kalkulator, i get  21.89

$$\sqrt{\left(\mathrm{111}+\mathrm{129}\right)+\mathrm{2}\sqrt{\mathrm{111}.\mathrm{129}}},\:\mathrm{remember}\::\sqrt{\left({a}+{b}\right)+\mathrm{2}\sqrt{{ab}}}=\sqrt{{a}}+\sqrt{{b}} \\ $$$$\sqrt{\mathrm{111}}+\sqrt{\mathrm{129}} \\ $$$$\mathrm{by}\:\mathrm{using}\:\mathrm{kalkulator},\:\mathrm{i}\:\mathrm{get} \\ $$$$\mathrm{21}.\mathrm{89} \\ $$

Commented by Nayon last updated on 09/Oct/16

how did you get 111 and 129?

$${how}\:{did}\:{you}\:{get}\:\mathrm{111}\:{and}\:\mathrm{129}? \\ $$

Commented by prakash jain last updated on 11/Oct/16

I think Ridwan used  111+129=240 etc

$$\mathrm{I}\:\mathrm{think}\:\mathrm{Ridwan}\:\mathrm{used} \\ $$$$\mathrm{111}+\mathrm{129}=\mathrm{240}\:{etc} \\ $$

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