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Question Number 152752 by EDWIN88 last updated on 01/Sep/21

 Given ((((x−2))^(1/3) +2))^(1/3)  +((2−((x+2))^(1/3) ))^(1/3)  =2  then (√(198x^4 −868x^3 −229x^2 +200x)) =?

$$\:{Given}\:\sqrt[{\mathrm{3}}]{\sqrt[{\mathrm{3}}]{{x}−\mathrm{2}}+\mathrm{2}}\:+\sqrt[{\mathrm{3}}]{\mathrm{2}−\sqrt[{\mathrm{3}}]{{x}+\mathrm{2}}}\:=\mathrm{2} \\ $$$${then}\:\sqrt{\mathrm{198}{x}^{\mathrm{4}} −\mathrm{868}{x}^{\mathrm{3}} −\mathrm{229}{x}^{\mathrm{2}} +\mathrm{200}{x}}\:=? \\ $$

Commented by liberty last updated on 01/Sep/21

x = 4.5897576

Commented by MJS_new last updated on 01/Sep/21

6

$$\mathrm{6} \\ $$

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