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Question Number 167867 by cortano1 last updated on 28/Mar/22

Commented by cortano1 last updated on 28/Mar/22

 How (((((x−2))^(1/3)  +2))^(1/3) /( ((2−((x+2))^(1/3) ))^(1/3) )) = (2/( ((2−((x+2))^(1/3) ))^(1/3) ))

$$\:{How}\:\frac{\sqrt[{\mathrm{3}}]{\sqrt[{\mathrm{3}}]{{x}−\mathrm{2}}\:+\mathrm{2}}}{\:\sqrt[{\mathrm{3}}]{\mathrm{2}−\sqrt[{\mathrm{3}}]{{x}+\mathrm{2}}}}\:=\:\frac{\mathrm{2}}{\:\sqrt[{\mathrm{3}}]{\mathrm{2}−\sqrt[{\mathrm{3}}]{{x}+\mathrm{2}}}} \\ $$

Commented by MJS_new last updated on 29/Mar/22

the answer is 6 but I cannot prove it...

$$\mathrm{the}\:\mathrm{answer}\:\mathrm{is}\:\mathrm{6}\:\mathrm{but}\:\mathrm{I}\:\mathrm{cannot}\:\mathrm{prove}\:\mathrm{it}... \\ $$

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