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Question Number 113241 by pallob last updated on 11/Sep/20

Answered by Aina Samuel Temidayo last updated on 11/Sep/20

((√((x^(30) )^(1/3)  )))^(1/5) =(x^(30) )^(1/((5×2×3))) =(x^(30) )^(1/(30)) =x^((30)/(30)) =x^1 =x

$$\sqrt[{\mathrm{5}}]{\sqrt{\sqrt[{\mathrm{3}}]{\mathrm{x}^{\mathrm{30}} }\:}}=\sqrt[{\left(\mathrm{5}×\mathrm{2}×\mathrm{3}\right)}]{\mathrm{x}^{\mathrm{30}} }=\sqrt[{\mathrm{30}}]{\mathrm{x}^{\mathrm{30}} }=\mathrm{x}^{\frac{\mathrm{30}}{\mathrm{30}}} =\mathrm{x}^{\mathrm{1}} =\mathrm{x} \\ $$

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