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Question Number 83787 by john santu last updated on 06/Mar/20

find the value of abc if   (√(2+(√(2^2 +(√(2^3 +2^4 +(√(...)))))))) = (((√a)+(√b))/c)

$$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{abc}\:\mathrm{if}\: \\ $$$$\sqrt{\mathrm{2}+\sqrt{\mathrm{2}^{\mathrm{2}} +\sqrt{\mathrm{2}^{\mathrm{3}} +\mathrm{2}^{\mathrm{4}} +\sqrt{...}}}}\:=\:\frac{\sqrt{\mathrm{a}}+\sqrt{\mathrm{b}}}{\mathrm{c}} \\ $$

Answered by jagoll last updated on 06/Mar/20

Commented by john santu last updated on 06/Mar/20

good sir

$$\mathrm{good}\:\mathrm{sir} \\ $$

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