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Question-189079




Question Number 189079 by pascal889 last updated on 11/Mar/23
Answered by HeferH last updated on 11/Mar/23
 ((1/7^3 ))^(1/3)   + ((1/4^3 ))^(1/3)  −(1/( (√(4/9)))) = (1/7) + (1/4) −(1/(((2/3))))  = ((11)/(28)) −(3/2)   = −((31)/(28))
$$\:\sqrt[{\mathrm{3}}]{\frac{\mathrm{1}}{\mathrm{7}^{\mathrm{3}} }}\:\:+\:\sqrt[{\mathrm{3}}]{\frac{\mathrm{1}}{\mathrm{4}^{\mathrm{3}} }}\:−\frac{\mathrm{1}}{\:\sqrt{\frac{\mathrm{4}}{\mathrm{9}}}}\:=\:\frac{\mathrm{1}}{\mathrm{7}}\:+\:\frac{\mathrm{1}}{\mathrm{4}}\:−\frac{\mathrm{1}}{\left(\frac{\mathrm{2}}{\mathrm{3}}\right)}\:\:=\:\frac{\mathrm{11}}{\mathrm{28}}\:−\frac{\mathrm{3}}{\mathrm{2}} \\ $$$$\:=\:−\frac{\mathrm{31}}{\mathrm{28}}\: \\ $$

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