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Question-6905




Question Number 6905 by rahma last updated on 02/Aug/16
Answered by sandy_suhendra last updated on 02/Aug/16
((120 x^5 ))^(1/3)  ÷ 2((5x))^(1/3)   =((8×15x^5 ))^(1/3)  ÷ 2((5x))^(1/3)   =2x((15x^2 ))^(1/3)  ÷ 2((5x))^(1/3)   =x((3x))^(1/3)
$$\sqrt[{\mathrm{3}}]{\mathrm{120}\:{x}^{\mathrm{5}} }\:\boldsymbol{\div}\:\mathrm{2}\sqrt[{\mathrm{3}}]{\mathrm{5}{x}} \\ $$$$=\sqrt[{\mathrm{3}}]{\mathrm{8}×\mathrm{15}{x}^{\mathrm{5}} }\:\boldsymbol{\div}\:\mathrm{2}\sqrt[{\mathrm{3}}]{\mathrm{5}{x}} \\ $$$$=\mathrm{2}{x}\sqrt[{\mathrm{3}}]{\mathrm{15}{x}^{\mathrm{2}} }\:\boldsymbol{\div}\:\mathrm{2}\sqrt[{\mathrm{3}}]{\mathrm{5}{x}} \\ $$$$={x}\sqrt[{\mathrm{3}}]{\mathrm{3}{x}} \\ $$

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